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9954952 = 2372359131
BaseRepresentation
bin100101111110…
…011010001000
3200201202121221
4211332122020
510022024302
6553211424
7150421120
oct45763210
920652557
109954952
11568a337
123400b74
1320a7207
141471c80
15d19937
hex97e688

9954952 has 64 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 3981120.

The previous prime is 9954949. The next prime is 9954983. The reversal of 9954952 is 2594599.

It is a happy number.

9954952 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

9954952 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 9954899 and 9954908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75927 + ... + 76057.

It is an arithmetic number, because the mean of its divisors is an integer number (356400).

Almost surely, 29954952 is an apocalyptic number.

9954952 is a gapful number since it is divisible by the number (92) 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 9954952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800).

9954952 is an abundant number, since it is smaller than the sum of its proper divisors (12854648).

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

9954952 is a wasteful number, since it uses less digits than its factorization.

9954952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its digits is 145800, while the sum is 43.

The square root of 9954952 is about 3155.1469062470. The cubic root of 9954952 is about 215.1194720882.

The spelling of 9954952 in words is "nine million, nine hundred fifty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 59 92 118 131 161 184 236 262 322 413 472 524 644 826 917 1048 1288 1357 1652 1834 2714 3013 3304 3668 5428 6026 7336 7729 9499 10856 12052 15458 18998 21091 24104 30916 37996 42182 54103 61832 75992 84364 108206 168728 177767 216412 355534 432824 711068 1244369 1422136 2488738 4977476 9954952