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525421128 = 233431034943
BaseRepresentation
bin11111010100010…
…100101001001000
31100121200011021210
4133110110221020
52034001434003
6124045333120
716010002011
oct3724245110
91317604253
10525421128
1124a64a741
12127b671a0
1384b15b9b
144dad2008
15311da503
hex1f514a48

525421128 has 64 divisors (see below), whose sum is σ = 1357424640. Its totient is φ = 169372224.

The previous prime is 525421123. The next prime is 525421157. The reversal of 525421128 is 821124525.

It is a junction number, because it is equal to n+sod(n) for n = 525421095 and 525421104.

It is not an unprimeable number, because it can be changed into a prime (525421123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103825 + ... + 108767.

It is an arithmetic number, because the mean of its divisors is an integer number (21209760).

Almost surely, 2525421128 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 525421128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678712320).

525421128 is an abundant number, since it is smaller than the sum of its proper divisors (832003512).

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

525421128 is a wasteful number, since it uses less digits than its factorization.

525421128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 5094 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 525421128 is about 22922.0663989964. The cubic root of 525421128 is about 806.9299669436.

The spelling of 525421128 in words is "five hundred twenty-five million, four hundred twenty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 103 129 172 206 258 309 344 412 516 618 824 1032 1236 2472 4429 4943 8858 9886 13287 14829 17716 19772 26574 29658 35432 39544 53148 59316 106296 118632 212549 425098 509129 637647 850196 1018258 1275294 1527387 1700392 2036516 2550588 3054774 4073032 5101176 6109548 12219096 21892547 43785094 65677641 87570188 131355282 175140376 262710564 525421128