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8630496 = 253371427
BaseRepresentation
bin100000111011…
…000011100000
3121020110211000
4200323003200
54202133441
6504552000
7133233540
oct40730340
917213730
108630496
114965246
122a82600
131a32404
141209320
15b572b6
hex83b0e0

8630496 has 96 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 2464128.

The previous prime is 8630491. The next prime is 8630519. The reversal of 8630496 is 6940368.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×86304962 = 148970922412032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8630496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8630491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5335 + ... + 6761.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 28630496 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 8630496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

8630496 is an abundant number, since it is smaller than the sum of its proper divisors (20157984).

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

8630496 is a wasteful number, since it uses less digits than its factorization.

With its successor (8630497) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1439).

8630496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 8630496 is about 2937.7705832825. The cubic root of 8630496 is about 205.1218470551.

The spelling of 8630496 in words is "eight million, six hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1427 1512 2016 2854 3024 4281 5708 6048 8562 9989 11416 12843 17124 19978 22832 25686 29967 34248 38529 39956 45664 51372 59934 68496 77058 79912 89901 102744 119868 136992 154116 159824 179802 205488 239736 269703 308232 319648 359604 410976 479472 539406 616464 719208 958944 1078812 1232928 1438416 2157624 2876832 4315248 8630496