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1002897864 = 2332173126431
BaseRepresentation
bin111011110001110…
…000000111001000
32120220010111020100
4323301300013020
54023220212424
6243303325400
733565330323
oct7361600710
92526114210
101002897864
11475123011
1223ba50860
1312ca131b7
14972a37ba
155d0a4dc9
hex3bc701c8

1002897864 has 96 divisors (see below), whose sum is σ = 2968842240. Its totient is φ = 304473600.

The previous prime is 1002897851. The next prime is 1002897877. The reversal of 1002897864 is 4687982001.

It is an interprime number because it is at equal distance from previous prime (1002897851) and next prime (1002897877).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24729 + ... + 51159.

It is an arithmetic number, because the mean of its divisors is an integer number (30925440).

Almost surely, 21002897864 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 1002897864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484421120).

1002897864 is an abundant number, since it is smaller than the sum of its proper divisors (1965944376).

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

1002897864 is a wasteful number, since it uses less digits than its factorization.

1002897864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26491 (or 26484 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1002897864 is about 31668.5627081495. The cubic root of 1002897864 is about 1000.9650230975.

The spelling of 1002897864 in words is "one billion, two million, eight hundred ninety-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1581 2108 2232 3162 4216 4743 6324 9486 12648 18972 26431 37944 52862 79293 105724 158586 211448 237879 317172 449327 475758 634344 819361 898654 951516 1347981 1638722 1797308 1903032 2458083 2695962 3277444 3594616 4043943 4916166 5391924 6554888 7374249 8087886 9832332 10783848 13929137 14748498 16175772 19664664 27858274 29496996 32351544 41787411 55716548 58993992 83574822 111433096 125362233 167149644 250724466 334299288 501448932 1002897864