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152552205 = 32513260773
BaseRepresentation
bin10010001011111…
…00001100001101
3101122001110021200
421011330030031
5303023132310
623045420113
73531446421
oct1105741415
9348043250
10152552205
1179125803
124310a639
13257b37a0
1416390b81
15d5d59c0
hex917c30d

152552205 has 24 divisors (see below), whose sum is σ = 284765208. Its totient is φ = 75102336.

The previous prime is 152552201. The next prime is 152552207. The reversal of 152552205 is 502255251.

It can be written as a sum of positive squares in 4 ways, for example, as 12981609 + 139570596 = 3603^2 + 11814^2 .

It is not a de Polignac number, because 152552205 - 22 = 152552201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152552201) by changing a digit.

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, 129802 + ... + 130971.

It is an arithmetic number, because the mean of its divisors is an integer number (11865217).

Almost surely, 2152552205 is an apocalyptic number.

152552205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152552205 is a deficient number, since it is larger than the sum of its proper divisors (132213003).

152552205 is a wasteful number, since it uses less digits than its factorization.

152552205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260797 (or 260794 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 152552205 is about 12351.2025730291. The cubic root of 152552205 is about 534.3258227034.

The spelling of 152552205 in words is "one hundred fifty-two million, five hundred fifty-two thousand, two hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 260773 782319 1303865 2346957 3390049 3911595 10170147 11734785 16950245 30510441 50850735 152552205