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252251274 = 231137531949
BaseRepresentation
bin11110000100100…
…00110010001010
3122120122200200210
433002100302022
51004034020044
641010341550
76152046312
oct1702206212
9576580623
10252251274
1111a431130
127058a8b6
1340350312
1425704442
151722b1b9
hexf090c8a

252251274 has 64 divisors (see below), whose sum is σ = 576201600. Its totient is φ = 72933120.

The previous prime is 252251273. The next prime is 252251291. The reversal of 252251274 is 472152252.

It is not an unprimeable number, because it can be changed into a prime (252251273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128452 + ... + 130400.

It is an arithmetic number, because the mean of its divisors is an integer number (9003150).

Almost surely, 2252251274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252251274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288100800).

252251274 is an abundant number, since it is smaller than the sum of its proper divisors (323950326).

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

252251274 is a wasteful number, since it uses less digits than its factorization.

252251274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055.

The product of its digits is 11200, while the sum is 30.

The square root of 252251274 is about 15882.4202815566. The cubic root of 252251274 is about 631.8458287752.

The spelling of 252251274 in words is "two hundred fifty-two million, two hundred fifty-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 37 53 66 74 106 111 159 222 318 407 583 814 1166 1221 1749 1949 1961 2442 3498 3898 3922 5847 5883 11694 11766 21439 21571 42878 43142 64317 64713 72113 103297 128634 129426 144226 206594 216339 309891 432678 619782 793243 1136267 1586486 2272534 2379729 3408801 3821989 4759458 6817602 7643978 11465967 22931934 42041879 84083758 126125637 252251274