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820640464 = 24737198031
BaseRepresentation
bin110000111010011…
…111101011010000
32010012011212002021
4300322133223100
53140040443324
6213233101224
726223220540
oct6072375320
92105155067
10820640464
11391259366
121aa9b7814
1310102b997
147adbd320
154c0a2ae4
hex30e9fad0

820640464 has 40 divisors (see below), whose sum is σ = 1866253568. Its totient is φ = 342195840.

The previous prime is 820640383. The next prime is 820640497. The reversal of 820640464 is 464046028.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94872 + ... + 103159.

Almost surely, 2820640464 is an apocalyptic number.

It is an amenable number.

820640464 is an abundant number, since it is smaller than the sum of its proper divisors (1045613104).

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

820640464 is a wasteful number, since it uses less digits than its factorization.

820640464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198083 (or 198077 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 820640464 is about 28646.8229303007. The cubic root of 820640464 is about 936.2337850778.

The spelling of 820640464 in words is "eight hundred twenty million, six hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 198031 396062 792124 1386217 1584248 2772434 3168496 5544868 7327147 11089736 14654294 22179472 29308588 51290029 58617176 102580058 117234352 205160116 410320232 820640464