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641225676 = 2237131035701
BaseRepresentation
bin100110001110000…
…101001111001100
31122200120122021010
4212032011033030
52303123210201
6143343405220
721614220420
oct4616051714
91580518233
10641225676
112a9a56383
1215a8b3810
13a2b012a0
1461238b80
153b462bd6
hex263853cc

641225676 has 96 divisors (see below), whose sum is σ = 1859673088. Its totient is φ = 167443200.

The previous prime is 641225659. The next prime is 641225677. The reversal of 641225676 is 676522146.

It is a super-2 number, since 2×6412256762 = 822340735123313952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (641225677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109626 + ... + 115326.

Almost surely, 2641225676 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 641225676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929836544).

641225676 is an abundant number, since it is smaller than the sum of its proper divisors (1218447412).

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

641225676 is a wasteful number, since it uses less digits than its factorization.

641225676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5829 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 641225676 is about 25322.4342431765. The cubic root of 641225676 is about 862.3236582986.

The spelling of 641225676 in words is "six hundred forty-one million, two hundred twenty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 103 156 182 206 273 309 364 412 546 618 721 1092 1236 1339 1442 2163 2678 2884 4017 4326 5356 5701 8034 8652 9373 11402 16068 17103 18746 22804 28119 34206 37492 39907 56238 68412 74113 79814 112476 119721 148226 159628 222339 239442 296452 444678 478884 518791 587203 889356 1037582 1174406 1556373 1761609 2075164 2348812 3112746 3523218 4110421 6225492 7046436 7633639 8220842 12331263 15267278 16441684 22900917 24662526 30534556 45801834 49325052 53435473 91603668 106870946 160306419 213741892 320612838 641225676