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525372432 = 243132273709
BaseRepresentation
bin11111010100001…
…000110000010000
31100121120200111020
4133110020300100
52033443404212
6124044315440
716006410024
oct3724106020
91317520436
10525372432
1124a6170a2
12127b42b80
1384ac9980
144dabc384
15311cad8c
hex1f508c10

525372432 has 80 divisors (see below), whose sum is σ = 1468447680. Its totient is φ = 160897536.

The previous prime is 525372427. The next prime is 525372433. The reversal of 525372432 is 234273525.

It is a junction number, because it is equal to n+sod(n) for n = 525372393 and 525372402.

It is not an unprimeable number, because it can be changed into a prime (525372433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139794 + ... + 143502.

It is an arithmetic number, because the mean of its divisors is an integer number (18355596).

Almost surely, 2525372432 is an apocalyptic number.

525372432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525372432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734223840).

525372432 is an abundant number, since it is smaller than the sum of its proper divisors (943075248).

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

525372432 is a wasteful number, since it uses less digits than its factorization.

525372432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3954 counting only the distinct ones).

The product of its digits is 50400, while the sum is 33.

The square root of 525372432 is about 22921.0041664845. The cubic root of 525372432 is about 806.9050374325.

The spelling of 525372432 in words is "five hundred twenty-five million, three hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 227 312 454 624 681 908 1362 1816 2724 2951 3632 3709 5448 5902 7418 8853 10896 11127 11804 14836 17706 22254 23608 29672 35412 44508 47216 48217 59344 70824 89016 96434 141648 144651 178032 192868 289302 385736 578604 771472 841943 1157208 1683886 2314416 2525829 3367772 5051658 6735544 10103316 10945259 13471088 20206632 21890518 32835777 40413264 43781036 65671554 87562072 131343108 175124144 262686216 525372432