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189314272 = 25731137199
BaseRepresentation
bin10110100100010…
…11010011100000
3111012020011100201
423102023103200
5341431024042
630441354544
74456100440
oct1322132340
9435204321
10189314272
1197954684
1253498a54
13302b55a4
141b200120
15119481b7
hexb48b4e0

189314272 has 96 divisors (see below), whose sum is σ = 445132800. Its totient is φ = 77552640.

The previous prime is 189314269. The next prime is 189314297. The reversal of 189314272 is 272413981.

Its product of digits (24192) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951229 + ... + 951427.

It is an arithmetic number, because the mean of its divisors is an integer number (4636800).

Almost surely, 2189314272 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 189314272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222566400).

189314272 is an abundant number, since it is smaller than the sum of its proper divisors (255818528).

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

189314272 is a wasteful number, since it uses less digits than its factorization.

189314272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 189314272 is about 13759.1522994696. The cubic root of 189314272 is about 574.1972637199.

The spelling of 189314272 in words is "one hundred eighty-nine million, three hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 137 199 217 224 248 274 398 434 496 548 796 868 959 992 1096 1393 1592 1736 1918 2192 2786 3184 3472 3836 4247 4384 5572 6169 6368 6944 7672 8494 11144 12338 15344 16988 22288 24676 27263 29729 30688 33976 43183 44576 49352 54526 59458 67952 86366 98704 109052 118916 135904 172732 190841 197408 218104 237832 345464 381682 436208 475664 690928 763364 845153 872416 951328 1381856 1526728 1690306 3053456 3380612 5916071 6106912 6761224 11832142 13522448 23664284 27044896 47328568 94657136 189314272