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252627157 = 17371932081
BaseRepresentation
bin11110000111011…
…00100011010101
3122121100210022101
433003230203111
51004133032112
641022402101
76155203216
oct1703544325
9577323271
10252627157
1111a668582
1270730331
1340452433
14257a140d
15172a2757
hexf0ec8d5

252627157 has 16 divisors (see below), whose sum is σ = 276273072. Its totient is φ = 230031360.

The previous prime is 252627143. The next prime is 252627161. The reversal of 252627157 is 751726252.

It can be written as a sum of positive squares in 8 ways, for example, as 7986276 + 244640881 = 2826^2 + 15641^2 .

It is a cyclic number.

It is not a de Polignac number, because 252627157 - 215 = 252594389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252627187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120357 + ... + 122437.

It is an arithmetic number, because the mean of its divisors is an integer number (17267067).

Almost surely, 2252627157 is an apocalyptic number.

It is an amenable number.

252627157 is a deficient number, since it is larger than the sum of its proper divisors (23645915).

252627157 is a wasteful number, since it uses less digits than its factorization.

252627157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328.

The product of its digits is 58800, while the sum is 37.

The square root of 252627157 is about 15894.2491801280. The cubic root of 252627157 is about 632.1595136605.

The spelling of 252627157 in words is "two hundred fifty-two million, six hundred twenty-seven thousand, one hundred fifty-seven".

Divisors: 1 17 37 193 629 2081 3281 7141 35377 76997 121397 401633 1308949 6827761 14860421 252627157