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532440128 = 2611312787
BaseRepresentation
bin11111101111000…
…110010001000000
31101002212202112202
4133233012101000
52042301041003
6124500012332
716123444403
oct3757062100
91332782482
10532440128
11253604170
1212a3910a8
138640293c
14509dbd3a
1531b25088
hex1fbc6440

532440128 has 84 divisors (see below), whose sum is σ = 1192505616. Its totient is φ = 233913600.

The previous prime is 532440113. The next prime is 532440149. The reversal of 532440128 is 821044235.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 532440128.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676151 + ... + 676937.

Almost surely, 2532440128 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 532440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596252808).

532440128 is an abundant number, since it is smaller than the sum of its proper divisors (660065488).

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

532440128 is a wasteful number, since it uses less digits than its factorization.

532440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 532440128 is about 23074.6642012403. The cubic root of 532440128 is about 810.5072918361.

The spelling of 532440128 in words is "five hundred thirty-two million, four hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 787 961 992 1364 1574 1922 1984 2728 3148 3844 5456 6296 7688 8657 10571 10912 12592 15376 17314 21142 21824 24397 25184 30752 34628 42284 48794 50368 61504 69256 84568 97588 138512 169136 195176 268367 277024 338272 390352 536734 554048 676544 756307 780704 1073468 1512614 1561408 2146936 3025228 4293872 6050456 8319377 8587744 12100912 16638754 17175488 24201824 33277508 48403648 66555016 133110032 266220064 532440128