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189447696 = 2432312372
BaseRepresentation
bin10110100101010…
…11111000010000
3111012110221101100
423102223320100
5341444311241
630444304400
74460164434
oct1322537020
9435427340
10189447696
1197a35949
1253542100
1330331239
141b2369c4
15119729b6
hexb4abe10

189447696 has 135 divisors (see below), whose sum is σ = 563051853. Its totient is φ = 59460480.

The previous prime is 189447683. The next prime is 189447703. The reversal of 189447696 is 696744981.

The square root of 189447696 is 13764.

It is a perfect power (a square), and thus also a powerful number.

189447696 is a `hidden beast` number, since 1 + 89 + 4 + 476 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 169520400 + 19927296 = 13020^2 + 4464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5120190 + ... + 5120226.

Almost surely, 2189447696 is an apocalyptic number.

189447696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

189447696 is the 13764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189447696

189447696 is an abundant number, since it is smaller than the sum of its proper divisors (373604157).

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

189447696 is a wasteful number, since it uses less digits than its factorization.

189447696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 73 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The cubic root of 189447696 is about 574.3321253690.

The spelling of 189447696 in words is "one hundred eighty-nine million, four hundred forty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 444 496 558 592 666 744 888 961 1116 1147 1332 1369 1488 1776 1922 2232 2294 2664 2738 2883 3441 3844 4107 4464 4588 5328 5476 5766 6882 7688 8214 8649 9176 10323 10952 11532 12321 13764 15376 16428 17298 18352 20646 21904 23064 24642 27528 32856 34596 35557 41292 42439 46128 49284 55056 65712 69192 71114 82584 84878 98568 106671 127317 138384 142228 165168 169756 197136 213342 254634 284456 320013 339512 381951 426684 509268 568912 640026 679024 763902 853368 1018536 1280052 1315609 1527804 1706736 2037072 2560104 2631218 3055608 3946827 5120208 5262436 6111216 7893654 10524872 11840481 15787308 21049744 23680962 31574616 47361924 63149232 94723848 189447696