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53486080 = 295171229
BaseRepresentation
bin1100110000001…
…0001000000000
310201122101002221
43030002020000
5102143023310
65150220424
71216424044
oct314021000
9121571087
1053486080
112821197a
1215ab4714
13b10908b
147164024
154a67ada
hex3302200

53486080 has 80 divisors (see below), whose sum is σ = 135895320. Its totient is φ = 20119552.

The previous prime is 53486021. The next prime is 53486093. The reversal of 53486080 is 8068435.

It can be written as a sum of positive squares in 4 ways, for example, as 53465344 + 20736 = 7312^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42906 + ... + 44134.

Almost surely, 253486080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67947660).

53486080 is an abundant number, since it is smaller than the sum of its proper divisors (82409240).

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

53486080 is a wasteful number, since it uses less digits than its factorization.

53486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 53486080 is about 7313.4178056501. The cubic root of 53486080 is about 376.7734193290.

The spelling of 53486080 in words is "fifty-three million, four hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1229 1280 1360 2176 2458 2560 2720 4352 4916 5440 6145 8704 9832 10880 12290 19664 20893 21760 24580 39328 41786 43520 49160 78656 83572 98320 104465 157312 167144 196640 208930 314624 334288 393280 417860 629248 668576 786560 835720 1337152 1573120 1671440 2674304 3146240 3342880 5348608 6685760 10697216 13371520 26743040 53486080