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152300281 = 72412432
BaseRepresentation
bin10010001001111…
…10101011111001
3101121120122201011
421010332223321
5302442102111
623040153521
73526350100
oct1104765371
9347518634
10152300281
1178a73501
12430088a1
1325725c13
1416327037
15d586021
hex913eaf9

152300281 has 27 divisors (see below), whose sum is σ = 185913423. Its totient is φ = 124397280.

The previous prime is 152300279. The next prime is 152300293. The reversal of 152300281 is 182003251.

The square root of 152300281 is 12341.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7338681 + 144961600 = 2709^2 + 12040^2 .

It is not a de Polignac number, because 152300281 - 21 = 152300279 is a prime.

It is a super-2 number, since 2×1523002812 = 46390751185357922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152300221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3541846 + ... + 3541888.

Almost surely, 2152300281 is an apocalyptic number.

152300281 is the 12341-st square number.

152300281 is the 6171-st centered octagonal number.

It is an amenable number.

152300281 is a deficient number, since it is larger than the sum of its proper divisors (33613142).

152300281 is an frugal number, since it uses more digits than its factorization.

152300281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The cubic root of 152300281 is about 534.0315329236.

The spelling of 152300281 in words is "one hundred fifty-two million, three hundred thousand, two hundred eighty-one".

Divisors: 1 7 41 43 49 287 301 1681 1763 1849 2009 2107 11767 12341 12943 72283 75809 82369 86387 90601 505981 530663 3108169 3541867 3714641 21757183 152300281