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189231552 = 2634173211
BaseRepresentation
bin10110100011101…
…11000111000000
3111012001221220000
423101313013000
5341420402202
630435520000
74455304326
oct1321670700
9435057800
10189231552
11978a8514
1253459000
1330286a43
141b1bbd16
151192d91c
hexb4771c0

189231552 has 140 divisors (see below), whose sum is σ = 566857896. Its totient is φ = 62415360.

The previous prime is 189231551. The next prime is 189231563. The reversal of 189231552 is 255132981.

189231552 is a `hidden beast` number, since 1 + 89 + 23 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189231551) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 896727 + ... + 896937.

Almost surely, 2189231552 is an apocalyptic number.

189231552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189231552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283428948).

189231552 is an abundant number, since it is smaller than the sum of its proper divisors (377626344).

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

189231552 is a wasteful number, since it uses less digits than its factorization.

189231552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 189231552 is about 13756.1459718920. The cubic root of 189231552 is about 574.1136205856.

The spelling of 189231552 in words is "one hundred eighty-nine million, two hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 173 192 211 216 288 324 346 422 432 519 576 633 648 692 844 864 1038 1266 1296 1384 1557 1688 1728 1899 2076 2532 2592 2768 3114 3376 3798 4152 4671 5064 5184 5536 5697 6228 6752 7596 8304 9342 10128 11072 11394 12456 13504 14013 15192 16608 17091 18684 20256 22788 24912 28026 30384 33216 34182 36503 37368 40512 45576 49824 56052 60768 68364 73006 74736 91152 99648 109509 112104 121536 136728 146012 149472 182304 219018 224208 273456 292024 298944 328527 364608 438036 448416 546912 584048 657054 876072 896832 985581 1093824 1168096 1314108 1752144 1971162 2336192 2628216 2956743 3504288 3942324 5256432 5913486 7008576 7884648 10512864 11826972 15769296 21025728 23653944 31538592 47307888 63077184 94615776 189231552