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189285504 = 2733115901
BaseRepresentation
bin10110100100001…
…00010010000000
3111012011200220020
423102010102000
5341424114004
630441013440
74455620532
oct1322042200
9435150806
10189285504
1197935001
1253484280
13302a5475
141b1d3852
151193e8d9
hexb484480

189285504 has 64 divisors (see below), whose sum is σ = 519041280. Its totient is φ = 61056000.

The previous prime is 189285449. The next prime is 189285533. The reversal of 189285504 is 405582981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3954 + ... + 19854.

It is an arithmetic number, because the mean of its divisors is an integer number (8110020).

Almost surely, 2189285504 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 189285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259520640).

189285504 is an abundant number, since it is smaller than the sum of its proper divisors (329755776).

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

189285504 is a wasteful number, since it uses less digits than its factorization.

189285504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15949 (or 15937 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 189285504 is about 13758.1068465105. The cubic root of 189285504 is about 574.1681774401.

The spelling of 189285504 in words is "one hundred eighty-nine million, two hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 15901 31802 47703 63604 95406 127208 190812 254416 381624 492931 508832 763248 985862 1017664 1478793 1526496 1971724 2035328 2957586 3052992 3943448 5915172 6105984 7886896 11830344 15773792 23660688 31547584 47321376 63095168 94642752 189285504