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252496332 = 223311257827
BaseRepresentation
bin11110000110011…
…00100111001100
3122121010010212000
433003030213030
51004114340312
641015512300
76154116624
oct1703144714
9577103760
10252496332
1111a589260
1270688690
1340407a1a
1425769884
1517278adc
hexf0cc9cc

252496332 has 96 divisors (see below), whose sum is σ = 717776640. Its totient is φ = 76124160.

The previous prime is 252496319. The next prime is 252496337. The reversal of 252496332 is 233694252.

It is a happy number.

252496332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (252496337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304903 + ... + 305729.

It is an arithmetic number, because the mean of its divisors is an integer number (7476840).

Almost surely, 2252496332 is an apocalyptic number.

252496332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252496332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358888320).

252496332 is an abundant number, since it is smaller than the sum of its proper divisors (465280308).

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

252496332 is a wasteful number, since it uses less digits than its factorization.

252496332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1100 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 252496332 is about 15890.1331649549. The cubic root of 252496332 is about 632.0503718597.

The spelling of 252496332 in words is "two hundred fifty-two million, four hundred ninety-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 257 297 396 514 594 771 827 1028 1188 1542 1654 2313 2481 2827 3084 3308 4626 4962 5654 6939 7443 8481 9097 9252 9924 11308 13878 14886 16962 18194 22329 25443 27291 27756 29772 33924 36388 44658 50886 54582 76329 81873 89316 101772 109164 152658 163746 212539 245619 305316 327492 425078 491238 637617 850156 982476 1275234 1912851 2337929 2550468 3825702 4675858 5738553 7013787 7651404 9351716 11477106 14027574 21041361 22954212 28055148 42082722 63124083 84165444 126248166 252496332