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766838820 = 2235111161877
BaseRepresentation
bin101101101101010…
…000100000100100
31222102221110002210
4231231100200210
53032302320240
6204032003420
725001010456
oct5555204044
91872843083
10766838820
113639513a0
12194990570
13c2b420a7
1473bb62d6
15474c6780
hex2db50824

766838820 has 48 divisors (see below), whose sum is σ = 2342346048. Its totient is φ = 185900160.

The previous prime is 766838713. The next prime is 766838843. The reversal of 766838820 is 28838667.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 766838820.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580279 + ... + 581598.

It is an arithmetic number, because the mean of its divisors is an integer number (48798876).

Almost surely, 2766838820 is an apocalyptic number.

It is an amenable number.

766838820 is an abundant number, since it is smaller than the sum of its proper divisors (1575507228).

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

766838820 is a wasteful number, since it uses less digits than its factorization.

766838820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161900 (or 1161898 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 766838820 is about 27691.8547591164. The cubic root of 766838820 is about 915.3096267673.

The spelling of 766838820 in words is "seven hundred sixty-six million, eight hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1161877 2323754 3485631 4647508 5809385 6971262 11618770 12780647 13942524 17428155 23237540 25561294 34856310 38341941 51122588 63903235 69712620 76683882 127806470 153367764 191709705 255612940 383419410 766838820