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189881424 = 24328315887
BaseRepresentation
bin10110101000101…
…01110001010000
3111020021222100100
423110111301100
5342102201144
630501452400
74463652105
oct1324256120
9436258310
10189881424
11982017a7
1253711100
1330453795
141b30aaac
1511a0b269
hexb515c50

189881424 has 60 divisors (see below), whose sum is σ = 537840576. Its totient is φ = 62527296.

The previous prime is 189881413. The next prime is 189881431. The reversal of 189881424 is 424188981.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 189881424.

It is a congruent number.

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, 4009 + ... + 19895.

Almost surely, 2189881424 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 189881424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268920288).

189881424 is an abundant number, since it is smaller than the sum of its proper divisors (347959152).

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

189881424 is a wasteful number, since it uses less digits than its factorization.

189881424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15984 (or 15975 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 189881424 is about 13779.7468772108. The cubic root of 189881424 is about 574.7700898106.

The spelling of 189881424 in words is "one hundred eighty-nine million, eight hundred eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 11952 15887 31774 47661 63548 95322 127096 142983 190644 254192 285966 381288 571932 762576 1143864 1318621 2287728 2637242 3955863 5274484 7911726 10548968 11867589 15823452 21097936 23735178 31646904 47470356 63293808 94940712 189881424