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9952480 = 255173659
BaseRepresentation
bin100101111101…
…110011100000
3200201122020101
4211331303200
510021434410
6553152144
7150410656
oct45756340
920648211
109952480
11568849a
1233bb654
1320a6055
141470dd6
15d18d3a
hex97dce0

9952480 has 48 divisors (see below), whose sum is σ = 24902640. Its totient is φ = 3745792.

The previous prime is 9952471. The next prime is 9952483. The reversal of 9952480 is 842599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9952483) 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 7 ways as a sum of consecutive naturals, for example, 891 + ... + 4549.

It is an arithmetic number, because the mean of its divisors is an integer number (518805).

Almost surely, 29952480 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 9952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451320).

9952480 is an abundant number, since it is smaller than the sum of its proper divisors (14950160).

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

9952480 is a wasteful number, since it uses less digits than its factorization.

9952480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 9952480 is about 3154.7551410529. The cubic root of 9952480 is about 215.1016645569.

The spelling of 9952480 in words is "nine million, nine hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 3659 7318 14636 18295 29272 36590 58544 62203 73180 117088 124406 146360 248812 292720 311015 497624 585440 622030 995248 1244060 1990496 2488120 4976240 9952480