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681193152 = 263543801
BaseRepresentation
bin101000100110100…
…010111011000000
31202110210012100000
4220212202323000
52343341140102
6151332200000
722611021603
oct5046427300
91673705300
10681193152
1131a574552
12170169000
13ab186093
146668033a
153ec0a01c
hex289a2ec0

681193152 has 84 divisors (see below), whose sum is σ = 2024878856. Its totient is φ = 227059200.

The previous prime is 681193141. The next prime is 681193157. The reversal of 681193152 is 251391186.

It is a super-2 number, since 2×6811931522 = 928048220663390208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (681193157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6349 + ... + 37452.

Almost surely, 2681193152 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 681193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012439428).

681193152 is an abundant number, since it is smaller than the sum of its proper divisors (1343685704).

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

681193152 is an equidigital number, since it uses as much as digits as its factorization.

681193152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43828 (or 43806 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 681193152 is about 26099.6772393836. The cubic root of 681193152 is about 879.8799560769.

The spelling of 681193152 in words is "six hundred eighty-one million, one hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 43801 87602 131403 175204 262806 350408 394209 525612 700816 788418 1051224 1182627 1401632 1576836 2102448 2365254 2803264 3153672 3547881 4204896 4730508 6307344 7095762 8409792 9461016 10643643 12614688 14191524 18922032 21287286 25229376 28383048 37844064 42574572 56766096 75688128 85149144 113532192 170298288 227064384 340596576 681193152