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189278304 = 25319412531
BaseRepresentation
bin10110100100000…
…10100001100000
3111012011100000120
423102002201200
5341423401204
630440520240
74455560535
oct1322024140
9435140016
10189278304
119792a656
1253480080
13302a20c7
141b1d0d8c
151193c6d9
hexb482860

189278304 has 96 divisors (see below), whose sum is σ = 535973760. Its totient is φ = 58291200.

The previous prime is 189278291. The next prime is 189278311. The reversal of 189278304 is 403872981.

It is a tau number, because it is divible by the number of its divisors (96).

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, 73519 + ... + 76049.

It is an arithmetic number, because the mean of its divisors is an integer number (5583060).

Almost surely, 2189278304 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 189278304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267986880).

189278304 is an abundant number, since it is smaller than the sum of its proper divisors (346695456).

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

189278304 is a wasteful number, since it uses less digits than its factorization.

189278304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 189278304 is about 13757.8451801145. The cubic root of 189278304 is about 574.1608973206.

The spelling of 189278304 in words is "one hundred eighty-nine million, two hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 76 82 96 114 123 152 164 228 246 304 328 456 492 608 656 779 912 984 1312 1558 1824 1968 2337 2531 3116 3936 4674 5062 6232 7593 9348 10124 12464 15186 18696 20248 24928 30372 37392 40496 48089 60744 74784 80992 96178 103771 121488 144267 192356 207542 242976 288534 311313 384712 415084 577068 622626 769424 830168 1154136 1245252 1538848 1660336 1971649 2308272 2490504 3320672 3943298 4616544 4981008 5914947 7886596 9962016 11829894 15773192 23659788 31546384 47319576 63092768 94639152 189278304