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9961252 = 2271721231
BaseRepresentation
bin100101111111…
…111100100100
3200202002021021
4211333330210
510022230002
6553300524
7150445360
oct45777444
920662237
109961252
115694044
123404744
1320aa042
1414742a0
15d1b737
hex97ff24

9961252 has 36 divisors (see below), whose sum is σ = 21180544. Its totient is φ = 4014720.

The previous prime is 9961249. The next prime is 9961267. The reversal of 9961252 is 2521699.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7477 + ... + 8707.

Almost surely, 29961252 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 9961252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10590272).

9961252 is an abundant number, since it is smaller than the sum of its proper divisors (11219292).

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

9961252 is a wasteful number, since it uses less digits than its factorization.

9961252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1257 counting only the distinct ones).

The product of its digits is 9720, while the sum is 34.

The square root of 9961252 is about 3156.1451170692. The cubic root of 9961252 is about 215.1648420336.

The spelling of 9961252 in words is "nine million, nine hundred sixty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 289 476 578 1156 1231 2023 2462 4046 4924 8092 8617 17234 20927 34468 41854 83708 146489 292978 355759 585956 711518 1423036 2490313 4980626 9961252