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5022512928 = 253256930649
BaseRepresentation
bin1001010110101110…
…10111011100100000
3110222000202002111100
410223113113130200
540241230403203
62150213514400
7235314440556
oct45327273440
913860662440
105022512928
112148094334
12b82042a00
13620711a54
14359081bd6
151e5e01ea3
hex12b5d7720

5022512928 has 72 divisors (see below), whose sum is σ = 14308339500. Its totient is φ = 1671174144.

The previous prime is 5022512923. The next prime is 5022512933. The reversal of 5022512928 is 8292152205.

5022512928 is a `hidden beast` number, since 50 + 2 + 2 + 512 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5022512923) and next prime (5022512933).

It can be written as a sum of positive squares in 2 ways, for example, as 3835572624 + 1186940304 = 61932^2 + 34452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×50225129282 = 50451272223854266368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5022512892 and 5022512901.

It is not an unprimeable number, because it can be changed into a prime (5022512923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148548 + ... + 179196.

Almost surely, 25022512928 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 5022512928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154169750).

5022512928 is an abundant number, since it is smaller than the sum of its proper divisors (9285826572).

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

5022512928 is a wasteful number, since it uses less digits than its factorization.

5022512928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31234 (or 31223 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5022512928 is about 70869.6897693224. The cubic root of 5022512928 is about 1712.5385421059.

The spelling of 5022512928 in words is "five billion, twenty-two million, five hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 569 1138 1707 2276 3414 4552 5121 6828 9104 10242 13656 18208 20484 27312 30649 40968 54624 61298 81936 91947 122596 163872 183894 245192 275841 367788 490384 551682 735576 980768 1103364 1471152 2206728 2942304 4413456 8826912 17439281 34878562 52317843 69757124 104635686 139514248 156953529 209271372 279028496 313907058 418542744 558056992 627814116 837085488 1255628232 1674170976 2511256464 5022512928