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252990234 = 23272373769
BaseRepresentation
bin11110001010001…
…01001100011010
3122122001020100200
433011011030122
51004231141414
641034243030
76161244600
oct1705051432
9578036320
10252990234
1111a896342
1270886476
134054b783
1425857870
1517325109
hexf14531a

252990234 has 72 divisors (see below), whose sum is σ = 640179540. Its totient is φ = 71995392.

The previous prime is 252990233. The next prime is 252990247. The reversal of 252990234 is 432099252.

It can be written as a sum of positive squares in 2 ways, for example, as 252714609 + 275625 = 15897^2 + 525^2 .

It is not an unprimeable number, because it can be changed into a prime (252990233) 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 35 ways as a sum of consecutive naturals, for example, 328602 + ... + 329370.

Almost surely, 2252990234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252990234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320089770).

252990234 is an abundant number, since it is smaller than the sum of its proper divisors (387189306).

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

252990234 is a wasteful number, since it uses less digits than its factorization.

252990234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 252990234 is about 15905.6667260445. Note that the first 3 decimals coincide. The cubic root of 252990234 is about 632.4622162851.

The spelling of 252990234 in words is "two hundred fifty-two million, nine hundred ninety thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 373 441 746 769 882 1119 1538 2238 2307 2611 3357 4614 5222 5383 6714 6921 7833 10766 13842 15666 16149 18277 23499 32298 36554 37681 46998 48447 54831 75362 96894 109662 113043 164493 226086 286837 328986 339129 573674 678258 860511 1721022 2007859 2581533 4015718 5163066 6023577 12047154 14055013 18070731 28110026 36141462 42165039 84330078 126495117 252990234