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252257005 = 57111323877
BaseRepresentation
bin11110000100100…
…10001011101101
3122120122222120001
433002102023231
51004034211010
641010424301
76152102110
oct1702221355
9576588501
10252257005
1111a435470
1270592091
1340352b00
1425706577
151722cc3a
hexf0922ed

252257005 has 48 divisors (see below), whose sum is σ = 408772224. Its totient is φ = 145117440.

The previous prime is 252256987. The next prime is 252257023. The reversal of 252257005 is 500752252.

252257005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252256987) and next prime (252257023).

It is not a de Polignac number, because 252257005 - 29 = 252256493 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63127 + ... + 67003.

It is an arithmetic number, because the mean of its divisors is an integer number (8516088).

Almost surely, 2252257005 is an apocalyptic number.

It is an amenable number.

252257005 is a deficient number, since it is larger than the sum of its proper divisors (156515219).

252257005 is a wasteful number, since it uses less digits than its factorization.

252257005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 252257005 is about 15882.6007001372. The cubic root of 252257005 is about 631.8506137937.

The spelling of 252257005 in words is "two hundred fifty-two million, two hundred fifty-seven thousand, five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 169 385 455 715 845 1001 1183 1859 3877 5005 5915 9295 13013 19385 27139 42647 50401 65065 135695 213235 252005 298529 352807 554411 655213 1492645 1764035 2772055 3276065 3880877 4586491 7207343 19404385 22932455 36036715 50451401 252257005