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5410485136 = 2472372712
BaseRepresentation
bin1010000100111110…
…10111001110010000
3111222001210010022101
411002133113032100
542040041011021
62252513250144
7251035236100
oct50237271620
914861703271
105410485136
112327094621
12106bb63954
13682c017c4
143947d5200
15219edba91
hex1427d7390

5410485136 has 135 divisors (see below), whose sum is σ = 12711782097. Its totient is φ = 2224333440.

The previous prime is 5410485133. The next prime is 5410485139. The reversal of 5410485136 is 6315840145.

It is a happy number.

The square root of 5410485136 is 73556.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5410485133) and next prime (5410485139).

It can be written as a sum of positive squares in only one way, i.e., 4841376400 + 569108736 = 69580^2 + 23856^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 5410485095 and 5410485104.

It is not an unprimeable number, because it can be changed into a prime (5410485133) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76203981 + ... + 76204051.

Almost surely, 25410485136 is an apocalyptic number.

5410485136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5410485136 is the 73556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5410485136

5410485136 is an abundant number, since it is smaller than the sum of its proper divisors (7301296961).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5410485136 is an equidigital number, since it uses as much as digits as its factorization.

5410485136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The cubic root of 5410485136 is about 1755.5454170671.

Multiplying 5410485136 by its product of nonzero digits (57600), we get a square (311643943833600 = 176534402).

The spelling of 5410485136 in words is "five billion, four hundred ten million, four hundred eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 71 74 98 112 142 148 196 259 284 296 392 497 518 568 592 784 994 1036 1136 1369 1813 1988 2072 2627 2738 3479 3626 3976 4144 5041 5254 5476 6958 7252 7952 9583 10082 10508 10952 13916 14504 18389 19166 20164 21016 21904 27832 29008 35287 36778 38332 40328 42032 55664 67081 70574 73556 76664 80656 97199 128723 134162 141148 147112 153328 186517 194398 247009 257446 268324 282296 294224 373034 388796 494018 514892 536648 564592 680393 746068 777592 988036 1029784 1073296 1305619 1360786 1492136 1555184 1976072 2059568 2611238 2721572 2984272 3952144 4762751 5222476 5443144 6901129 9139333 9525502 10444952 10886288 13802258 18278666 19051004 20889904 27604516 36557332 38102008 48307903 55209032 73114664 76204016 96615806 110418064 146229328 193231612 338155321 386463224 676310642 772926448 1352621284 2705242568 5410485136