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7868952 = 23327131201
BaseRepresentation
bin11110000001001000011000
3112210210011200
4132001020120
54003301302
6440354200
7123612360
oct36011030
915723150
107868952
114495073
122775960
1318268b0
14108b9a0
15a5681c
hex781218

7868952 has 96 divisors (see below), whose sum is σ = 26251680. Its totient is φ = 2073600.

The previous prime is 7868933. The next prime is 7868969. The reversal of 7868952 is 2598687.

It is a junction number, because it is equal to n+sod(n) for n = 7868898 and 7868907.

It is a congruent number.

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, 5952 + ... + 7152.

It is an arithmetic number, because the mean of its divisors is an integer number (273455).

Almost surely, 27868952 is an apocalyptic number.

7868952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7868952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125840).

7868952 is an abundant number, since it is smaller than the sum of its proper divisors (18382728).

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

7868952 is a wasteful number, since it uses less digits than its factorization.

7868952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1226 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7868952 is about 2805.1652357749. The cubic root of 7868952 is about 198.9019154184.

The spelling of 7868952 in words is "seven million, eight hundred sixty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1201 1638 2184 2402 3276 3603 4804 6552 7206 8407 9608 10809 14412 15613 16814 21618 25221 28824 31226 33628 43236 46839 50442 62452 67256 75663 86472 93678 100884 109291 124904 140517 151326 187356 201768 218582 281034 302652 327873 374712 437164 562068 605304 655746 874328 983619 1124136 1311492 1967238 2622984 3934476 7868952