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252370872 = 233213793413
BaseRepresentation
bin11110000101011…
…01111110111000
3122120212202202100
433002231332320
51004101331442
641013103400
76153055065
oct1702557670
9576782670
10252370872
1111a502a76
1270627b60
13403928a0
1425735c6c
151725184c
hexf0adfb8

252370872 has 96 divisors (see below), whose sum is σ = 745617600. Its totient is φ = 76647168.

The previous prime is 252370829. The next prime is 252370873. The reversal of 252370872 is 278073252.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252370873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72238 + ... + 75650.

It is an arithmetic number, because the mean of its divisors is an integer number (7766850).

Almost surely, 2252370872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252370872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372808800).

252370872 is an abundant number, since it is smaller than the sum of its proper divisors (493246728).

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

252370872 is a wasteful number, since it uses less digits than its factorization.

252370872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 252370872 is about 15886.1849416403. The cubic root of 252370872 is about 631.9456704352.

The spelling of 252370872 in words is "two hundred fifty-two million, three hundred seventy thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 79 104 117 156 158 234 237 312 316 468 474 632 711 936 948 1027 1422 1896 2054 2844 3081 3413 4108 5688 6162 6826 8216 9243 10239 12324 13652 18486 20478 24648 27304 30717 36972 40956 44369 61434 73944 81912 88738 122868 133107 177476 245736 266214 269627 354952 399321 532428 539254 798642 808881 1064856 1078508 1597284 1617762 2157016 2426643 3194568 3235524 3505151 4853286 6471048 7010302 9706572 10515453 14020604 19413144 21030906 28041208 31546359 42061812 63092718 84123624 126185436 252370872