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686039424 = 2737318233
BaseRepresentation
bin101000111001000…
…010000110000000
31202210220102011120
4220321002012000
52401111230144
6152024112240
723000144640
oct5071020600
91683812146
10686039424
11322284634
12171905680
13ac191bb5
1467182520
1540365e19
hex28e42180

686039424 has 128 divisors (see below), whose sum is σ = 2150062080. Its totient is φ = 189665280.

The previous prime is 686039411. The next prime is 686039443. The reversal of 686039424 is 424930686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 79212 + ... + 87444.

It is an arithmetic number, because the mean of its divisors is an integer number (16797360).

Almost surely, 2686039424 is an apocalyptic number.

686039424 is a gapful number since it is divisible by the number (64) 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 686039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075031040).

686039424 is an abundant number, since it is smaller than the sum of its proper divisors (1464022656).

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

686039424 is a wasteful number, since it uses less digits than its factorization.

686039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 686039424 is about 26192.3543042622. The cubic root of 686039424 is about 881.9616295441.

The spelling of 686039424 in words is "six hundred eighty-six million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 8233 10416 11904 13888 16466 20832 24699 27776 32932 41664 49398 57631 65864 83328 98796 115262 131728 172893 197592 230524 255223 263456 345786 395184 461048 510446 526912 691572 765669 790368 922096 1020892 1053824 1383144 1531338 1580736 1786561 1844192 2041784 2766288 3062676 3161472 3573122 3688384 4083568 5359683 5532576 6125352 7146244 7376768 8167136 10719366 11065152 12250704 14292488 16334272 21438732 22130304 24501408 28584976 32668544 42877464 49002816 57169952 85754928 98005632 114339904 171509856 228679808 343019712 686039424