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681647652 = 223274336247
BaseRepresentation
bin101000101000010…
…001111000100100
31202111122021210100
4220220101320210
52344000211102
6151350024100
722614623640
oct5050217044
91674567710
10681647652
1131a854a74
12170348030
13ab2b4c0a
146675bc20
153ec99a1c
hex28a11e24

681647652 has 72 divisors (see below), whose sum is σ = 1974068096. Its totient is φ = 194275584.

The previous prime is 681647651. The next prime is 681647663. The reversal of 681647652 is 256746186.

It is a super-2 number, since 2×6816476522 = 929287042954226208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 681647598 and 681647607.

It is not an unprimeable number, because it can be changed into a prime (681647651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105993 + ... + 112239.

Almost surely, 2681647652 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 681647652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987034048).

681647652 is an abundant number, since it is smaller than the sum of its proper divisors (1292420444).

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

681647652 is a wasteful number, since it uses less digits than its factorization.

681647652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697 (or 6692 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 681647652 is about 26108.3827917395. The cubic root of 681647652 is about 880.0756012872.

The spelling of 681647652 in words is "six hundred eighty-one million, six hundred forty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 433 866 1299 1732 2598 3031 3897 5196 6062 6247 7794 9093 12124 12494 15588 18186 18741 24988 27279 36372 37482 43729 54558 56223 74964 87458 109116 112446 131187 174916 224892 262374 393561 524748 787122 1574244 2704951 5409902 8114853 10819804 16229706 18934657 24344559 32459412 37869314 48689118 56803971 75738628 97378236 113607942 170411913 227215884 340823826 681647652