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531920832 = 26311324517
BaseRepresentation
bin11111101101000…
…111011111000000
31101001220101012120
4133231013133000
52042132431312
6124440524240
716116152412
oct3755073700
91331811176
10531920832
11253289aa3
1212a180680
1386280471
14509049b2
1531a7128c
hex1fb477c0

531920832 has 56 divisors (see below), whose sum is σ = 1419886416. Its totient is φ = 175730688.

The previous prime is 531920821. The next prime is 531920833. The reversal of 531920832 is 238029135.

It is a junction number, because it is equal to n+sod(n) for n = 531920793 and 531920802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531920833) 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 7 ways as a sum of consecutive naturals, for example, 9438 + ... + 33954.

Almost surely, 2531920832 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 531920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709943208).

531920832 is an abundant number, since it is smaller than the sum of its proper divisors (887965584).

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

531920832 is a wasteful number, since it uses less digits than its factorization.

531920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24645 (or 24635 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 531920832 is about 23063.4089414380. The cubic root of 531920832 is about 810.2437065797.

Adding to 531920832 its reverse (238029135), we get a palindrome (769949967).

The spelling of 531920832 in words is "five hundred thirty-one million, nine hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 5424 7232 10848 21696 24517 49034 73551 98068 147102 196136 294204 392272 588408 784544 1176816 1569088 2353632 2770421 4707264 5540842 8311263 11081684 16622526 22163368 33245052 44326736 66490104 88653472 132980208 177306944 265960416 531920832