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641205828 = 22337183621
BaseRepresentation
bin100110001110000…
…000011001000100
31122200112122001000
4212032000121010
52303122041303
6143343133300
721614105514
oct4616003104
91580478030
10641205828
112a9a4247a
1215a8a4230
13a2ac5243
1461231844
153b45bda3
hex26380644

641205828 has 48 divisors (see below), whose sum is σ = 1685819520. Its totient is φ = 210722400.

The previous prime is 641205827. The next prime is 641205883. The reversal of 641205828 is 828502146.

641205828 is a `hidden beast` number, since 64 + 12 + 0 + 582 + 8 = 666.

It is a super-2 number, since 2×6412058282 = 822289827722331168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 641205792 and 641205801.

It is not an unprimeable number, because it can be changed into a prime (641205821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34143 + ... + 49478.

It is an arithmetic number, because the mean of its divisors is an integer number (35121240).

Almost surely, 2641205828 is an apocalyptic number.

It is an amenable number.

641205828 is an abundant number, since it is smaller than the sum of its proper divisors (1044613692).

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

641205828 is a wasteful number, since it uses less digits than its factorization.

641205828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83705 (or 83697 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 641205828 is about 25322.0423346933. The cubic root of 641205828 is about 862.3147609752.

The spelling of 641205828 in words is "six hundred forty-one million, two hundred five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7668 83621 167242 250863 334484 501726 752589 1003452 1505178 2257767 3010356 4515534 5937091 9031068 11874182 17811273 23748364 35622546 53433819 71245092 106867638 160301457 213735276 320602914 641205828