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147268296 = 23327476217
BaseRepresentation
bin10001100011100…
…10001011001000
3101021010000010100
420301302023020
5300200041141
622340245400
73435521430
oct1061621310
9337100110
10147268296
117614693a
12413a0860
1324683706
14157b72c0
15cde00b6
hex8c722c8

147268296 has 96 divisors (see below), whose sum is σ = 465603840. Its totient is φ = 41174784.

The previous prime is 147268237. The next prime is 147268301. The reversal of 147268296 is 692862741.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20580 + ... + 26796.

It is an arithmetic number, because the mean of its divisors is an integer number (4850040).

Almost surely, 2147268296 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 147268296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232801920).

147268296 is an abundant number, since it is smaller than the sum of its proper divisors (318335544).

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

147268296 is a wasteful number, since it uses less digits than its factorization.

147268296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6276 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 147268296 is about 12135.4149496422. The cubic root of 147268296 is about 528.0840947322.

The spelling of 147268296 in words is "one hundred forty-seven million, two hundred sixty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 5922 6217 7896 11844 12434 18651 23688 24868 37302 43519 49736 55953 74604 87038 111906 130557 149208 174076 223812 261114 292199 348152 391671 447624 522228 584398 783342 876597 1044456 1168796 1566684 1753194 2045393 2337592 2629791 3133368 3506388 4090786 5259582 6136179 7012776 8181572 10519164 12272358 16363144 18408537 21038328 24544716 36817074 49089432 73634148 147268296