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681659496 = 233373114543
BaseRepresentation
bin101000101000010…
…100110001101000
31202111122220001000
4220220110301220
52344001100441
6151350155000
722615003320
oct5050246150
91674586030
10681659496
1131a862961
12170352a60
13ab2ba41b
1466762280
153ec9d2b6
hex28a14c68

681659496 has 128 divisors (see below), whose sum is σ = 2233958400. Its totient is φ = 188464320.

The previous prime is 681659483. The next prime is 681659549. The reversal of 681659496 is 694956186.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39601 + ... + 54143.

It is an arithmetic number, because the mean of its divisors is an integer number (17452800).

Almost surely, 2681659496 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 681659496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116979200).

681659496 is an abundant number, since it is smaller than the sum of its proper divisors (1552298904).

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

681659496 is a wasteful number, since it uses less digits than its factorization.

681659496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14596 (or 14586 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 681659496 is about 26108.6096144548. The cubic root of 681659496 is about 880.0806985224.

The spelling of 681659496 in words is "six hundred eighty-one million, six hundred fifty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1302 1512 1674 1736 1953 2232 2604 3348 3906 5208 5859 6696 7812 11718 14543 15624 23436 29086 43629 46872 58172 87258 101801 116344 130887 174516 203602 261774 305403 349032 392661 407204 450833 523548 610806 785322 814408 901666 916209 1047096 1221612 1352499 1570644 1803332 1832418 2443224 2704998 2748627 3141288 3155831 3606664 3664836 4057497 5409996 5497254 6311662 7329672 8114994 9467493 10819992 10994508 12172491 12623324 16229988 18934986 21989016 24344982 25246648 28402479 32459976 37869972 48689964 56804958 75739944 85207437 97379928 113609916 170414874 227219832 340829748 681659496