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9989952 = 26377433
BaseRepresentation
bin100110000110…
…111101000000
3200210112122020
4212012331000
510024134302
6554041440
7150625140
oct46067500
920715566
109989952
115703665
123419280
1320ba11b
141480920
15d24ebc
hex986f40

9989952 has 56 divisors (see below), whose sum is σ = 30211776. Its totient is φ = 2853888.

The previous prime is 9989927. The next prime is 9989957. The reversal of 9989952 is 2599899.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 9989895 and 9989904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9989957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2373 + ... + 5060.

It is an arithmetic number, because the mean of its divisors is an integer number (539496).

Almost surely, 29989952 is an apocalyptic number.

It is an amenable number.

9989952 is an abundant number, since it is smaller than the sum of its proper divisors (20221824).

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

9989952 is a wasteful number, since it uses less digits than its factorization.

9989952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7455 (or 7445 counting only the distinct ones).

The product of its digits is 524880, while the sum is 51.

The square root of 9989952 is about 3160.6885325827. The cubic root of 9989952 is about 215.3712856219.

The spelling of 9989952 in words is "nine million, nine hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 7433 14866 22299 29732 44598 52031 59464 89196 104062 118928 156093 178392 208124 237856 312186 356784 416248 475712 624372 713568 832496 1248744 1427136 1664992 2497488 3329984 4994976 9989952