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5210976 = 2531731103
BaseRepresentation
bin10011111000001101100000
3100210202010010
4103320031200
52313222401
6303404520
762202231
oct23701540
910722103
105210976
112a3a0a1
1218b3740
131105b24
14999088
156cded6
hex4f8360

5210976 has 96 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 1566720.

The previous prime is 5210957. The next prime is 5210999. The reversal of 5210976 is 6790125.

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

It is an Ulam number.

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, 50541 + ... + 50643.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 25210976 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 5210976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904).

5210976 is an abundant number, since it is smaller than the sum of its proper divisors (9884832).

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

5210976 is a wasteful number, since it uses less digits than its factorization.

5210976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 5210976 is about 2282.7562287726. The cubic root of 5210976 is about 173.3696307943.

The spelling of 5210976 in words is "five million, two hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 103 124 136 186 204 206 248 272 309 372 408 412 496 527 544 618 744 816 824 992 1054 1236 1488 1581 1632 1648 1751 2108 2472 2976 3162 3193 3296 3502 4216 4944 5253 6324 6386 7004 8432 9579 9888 10506 12648 12772 14008 16864 19158 21012 25296 25544 28016 38316 42024 50592 51088 54281 56032 76632 84048 102176 108562 153264 162843 168096 217124 306528 325686 434248 651372 868496 1302744 1736992 2605488 5210976