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152552652 = 2237232812
BaseRepresentation
bin10010001011111…
…00010011001100
3101122001110220020
421011330103030
5303023141102
623045422140
73531450630
oct1105742314
9348043806
10152552652
117912607a
124310a950
13257b3a55
1416390dc0
15d5d5bbc
hex917c4cc

152552652 has 72 divisors (see below), whose sum is σ = 426010368. Its totient is φ = 41543040.

The previous prime is 152552627. The next prime is 152552669. The reversal of 152552652 is 256255251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542752 + ... + 543032.

Almost surely, 2152552652 is an apocalyptic number.

152552652 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 152552652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213005184).

152552652 is an abundant number, since it is smaller than the sum of its proper divisors (273457716).

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

152552652 is a wasteful number, since it uses less digits than its factorization.

152552652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 316 counting only the distinct ones).

The product of its digits is 30000, while the sum is 33.

The square root of 152552652 is about 12351.2206684198. The cubic root of 152552652 is about 534.3263445868.

The spelling of 152552652 in words is "one hundred fifty-two million, five hundred fifty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 281 322 483 562 644 843 966 1124 1686 1932 1967 3372 3934 5901 6463 7868 11802 12926 19389 23604 25852 38778 45241 77556 78961 90482 135723 157922 180964 236883 271446 315844 473766 542892 552727 947532 1105454 1658181 1816103 2210908 3316362 3632206 5448309 6632724 7264412 10896618 12712721 21793236 25425442 38138163 50850884 76276326 152552652