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532054032 = 243172328349
BaseRepresentation
bin11111101101101…
…000000000010000
31101002011010220220
4133231220000100
52042201212112
6124443433040
716120245636
oct3755500020
91332133826
10532054032
11253370084
1212a225780
13862c8c93
145093b356
1531a9a98c
hex1fb68010

532054032 has 80 divisors (see below), whose sum is σ = 1518652800. Its totient is φ = 159655936.

The previous prime is 532053953. The next prime is 532054067. The reversal of 532054032 is 230450235.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 532053993 and 532054011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4594 + ... + 32942.

It is an arithmetic number, because the mean of its divisors is an integer number (18983160).

Almost surely, 2532054032 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 532054032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

532054032 is an abundant number, since it is smaller than the sum of its proper divisors (986598768).

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

532054032 is a wasteful number, since it uses less digits than its factorization.

532054032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28400 (or 28394 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 532054032 is about 23066.2964517497. The cubic root of 532054032 is about 810.3113328428.

The spelling of 532054032 in words is "five hundred thirty-two million, fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1104 1173 1564 2346 3128 4692 6256 9384 18768 28349 56698 85047 113396 170094 226792 340188 453584 481933 652027 680376 963866 1304054 1360752 1445799 1927732 1956081 2608108 2891598 3855464 3912162 5216216 5783196 7710928 7824324 10432432 11084459 11566392 15648648 22168918 23132784 31297296 33253377 44337836 66506754 88675672 133013508 177351344 266027016 532054032