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189701824 = 2613217539
BaseRepresentation
bin10110100111010…
…01111011000000
3111012221211222111
423103221323000
5342030424244
630453545104
74462303354
oct1323517300
9435854874
10189701824
1198099874
1253645194
13303bcb00
141b2a1464
15119c2e34
hexb4e9ec0

189701824 has 42 divisors (see below), whose sum is σ = 407647140. Its totient is φ = 87549696.

The previous prime is 189701819. The next prime is 189701839. The reversal of 189701824 is 428107981.

It is a happy number.

189701824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1897018243 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2047 + ... + 19585.

Almost surely, 2189701824 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 189701824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203823570).

189701824 is an abundant number, since it is smaller than the sum of its proper divisors (217945316).

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

189701824 is a wasteful number, since it uses less digits than its factorization.

189701824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17577 (or 17554 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 189701824 is about 13773.2285249320. The cubic root of 189701824 is about 574.5888165551.

The spelling of 189701824 in words is "one hundred eighty-nine million, seven hundred one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 17539 35078 70156 140312 228007 280624 456014 561248 912028 1122496 1824056 2964091 3648112 5928182 7296224 11856364 14592448 23712728 47425456 94850912 189701824