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646379090 = 257210331277
BaseRepresentation
bin100110100001101…
…111011001010010
31200001021110102022
4212201233121102
52310433112330
6144050051442
722006063100
oct4641573122
91601243368
10646379090
113019561a5
12160579b82
13a3bb6b46
1461bbac70
153bb2eae5
hex2686f652

646379090 has 48 divisors (see below), whose sum is σ = 1355809752. Its totient is φ = 221227776.

The previous prime is 646379089. The next prime is 646379099. The reversal of 646379090 is 90973646.

646379090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 641760889 + 4618201 = 25333^2 + 2149^2 .

It is not an unprimeable number, because it can be changed into a prime (646379099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505532 + ... + 506808.

Almost surely, 2646379090 is an apocalyptic number.

646379090 is an abundant number, since it is smaller than the sum of its proper divisors (709430662).

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

646379090 is a wasteful number, since it uses less digits than its factorization.

646379090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 646379090 is about 25423.9865088070. The cubic root of 646379090 is about 864.6276098729.

The spelling of 646379090 in words is "six hundred forty-six million, three hundred seventy-nine thousand, ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1033 1277 2066 2554 5165 6385 7231 8939 10330 12770 14462 17878 36155 44695 50617 62573 72310 89390 101234 125146 253085 312865 506170 625730 1319141 2638282 6595705 9233987 13191410 18467974 46169935 64637909 92339870 129275818 323189545 646379090