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189931392 = 273472617
BaseRepresentation
bin10110101001000…
…01111110000000
3111020101111220000
423110201332000
5342110301032
630502520000
74464250560
oct1324417600
9436344800
10189931392
11982362a2
1253736000
1330470451
141b320da0
1511a1ae7c
hexb521f80

189931392 has 160 divisors (see below), whose sum is σ = 646227120. Its totient is φ = 54245376.

The previous prime is 189931381. The next prime is 189931453. The reversal of 189931392 is 293139981.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71268 + ... + 73884.

Almost surely, 2189931392 is an apocalyptic number.

189931392 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 189931392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323113560).

189931392 is an abundant number, since it is smaller than the sum of its proper divisors (456295728).

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

189931392 is an equidigital number, since it uses as much as digits as its factorization.

189931392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2629 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 189931392 is about 13781.5598536595. The cubic root of 189931392 is about 574.8205030147.

The spelling of 189931392 in words is "one hundred eighty-nine million, nine hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2617 2688 3024 3456 4032 4536 5184 5234 6048 7851 8064 9072 10368 10468 12096 15702 18144 18319 20936 23553 24192 31404 36288 36638 41872 47106 54957 62808 70659 72576 73276 83744 94212 109914 125616 141318 146552 164871 167488 188424 211977 219828 251232 282636 293104 329742 334976 376848 423954 439656 494613 502464 565272 586208 659484 753696 847908 879312 989226 1004928 1130544 1172416 1318968 1483839 1507392 1695816 1758624 1978452 2261088 2344832 2637936 2967678 3014784 3391632 3517248 3956904 4522176 5275872 5935356 6783264 7034496 7913808 9044352 10551744 11870712 13566528 15827616 21103488 23741424 27133056 31655232 47482848 63310464 94965696 189931392