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152046096 = 24317389479
BaseRepresentation
bin10010001000000…
…00101000010000
3101121002202000220
421010000220100
5302410433341
623030513040
73524241036
oct1104005020
9347082026
10152046096
117890a534
1242b05780
1325667307
141629c556
15d535a66
hex9100a10

152046096 has 80 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 47478784.

The previous prime is 152046091. The next prime is 152046119. The reversal of 152046096 is 690640251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152046091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317185 + ... + 317663.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2152046096 is an apocalyptic number.

152046096 is a gapful number since it is divisible by the number (16) 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 152046096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

152046096 is an abundant number, since it is smaller than the sum of its proper divisors (265784304).

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

152046096 is a wasteful number, since it uses less digits than its factorization.

152046096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 152046096 is about 12330.6973038835. The cubic root of 152046096 is about 533.7342728191.

The spelling of 152046096 in words is "one hundred fifty-two million, forty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 389 408 479 778 816 958 1167 1437 1556 1916 2334 2874 3112 3832 4668 5748 6224 6613 7664 8143 9336 11496 13226 16286 18672 19839 22992 24429 26452 32572 39678 48858 52904 65144 79356 97716 105808 130288 158712 186331 195432 317424 372662 390864 558993 745324 1117986 1490648 2235972 2981296 3167627 4471944 6335254 8943888 9502881 12670508 19005762 25341016 38011524 50682032 76023048 152046096