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968653248 = 26310194951
BaseRepresentation
bin111001101111000…
…111100111000000
32111111200200110020
4321233013213000
53440433400443
6240041333440
733001262643
oct7157074700
92444620406
10968653248
11457863582
12230497280
131258b3204
149290ba5a
155a08d583
hex39bc79c0

968653248 has 56 divisors (see below), whose sum is σ = 2565928320. Its totient is φ = 322502400.

The previous prime is 968653241. The next prime is 968653261. The reversal of 968653248 is 842356869.

It is a super-2 number, since 2×9686532482 = 1876578229721899008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 968653248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968653241) 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, 193173 + ... + 198123.

Almost surely, 2968653248 is an apocalyptic number.

It is an amenable number.

968653248 is an abundant number, since it is smaller than the sum of its proper divisors (1597275072).

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

968653248 is a wasteful number, since it uses less digits than its factorization.

968653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5975 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 968653248 is about 31123.1946946325. The cubic root of 968653248 is about 989.4399607704.

The spelling of 968653248 in words is "nine hundred sixty-eight million, six hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1019 2038 3057 4076 4951 6114 8152 9902 12228 14853 16304 19804 24456 29706 32608 39608 48912 59412 65216 79216 97824 118824 158432 195648 237648 316864 475296 950592 5045069 10090138 15135207 20180276 30270414 40360552 60540828 80721104 121081656 161442208 242163312 322884416 484326624 968653248