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152611272 = 233211233827
BaseRepresentation
bin10010001100010…
…10100111001000
3101122011110022100
421012022213020
5303032030042
623050553400
73532113552
oct1106124710
9348143270
10152611272
1179166120
1243138860
1325804638
14163a84d2
15d5e824c
hex918a9c8

152611272 has 96 divisors (see below), whose sum is σ = 453379680. Its totient is φ = 45991680.

The previous prime is 152611271. The next prime is 152611301. The reversal of 152611272 is 272116251.

It is not an unprimeable number, because it can be changed into a prime (152611271) by changing a digit.

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, 184123 + ... + 184949.

It is an arithmetic number, because the mean of its divisors is an integer number (4722705).

Almost surely, 2152611272 is an apocalyptic number.

152611272 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 152611272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226689840).

152611272 is an abundant number, since it is smaller than the sum of its proper divisors (300768408).

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

152611272 is a wasteful number, since it uses less digits than its factorization.

152611272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1076 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 152611272 is about 12353.5934852981. The cubic root of 152611272 is about 534.3947760405.

The spelling of 152611272 in words is "one hundred fifty-two million, six hundred eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 233 264 396 466 699 792 827 932 1398 1654 1864 2097 2481 2563 2796 3308 4194 4962 5126 5592 6616 7443 7689 8388 9097 9924 10252 14886 15378 16776 18194 19848 20504 23067 27291 29772 30756 36388 46134 54582 59544 61512 72776 81873 92268 109164 163746 184536 192691 218328 327492 385382 578073 654984 770764 1156146 1541528 1734219 2119601 2312292 3468438 4239202 4624584 6358803 6936876 8478404 12717606 13873752 16956808 19076409 25435212 38152818 50870424 76305636 152611272