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2956425408 = 263210747969
BaseRepresentation
bin1011000000110111…
…0111100011000000
321122001000222020100
42300031313203000
522023321103113
61205210242400
7133156126026
oct26015674300
97561028210
102956425408
111287909192
126a6126400
13381668961
14200902716
15124837d73
hexb03778c0

2956425408 has 84 divisors (see below), whose sum is σ = 8553434760. Its totient is φ = 976244736.

The previous prime is 2956425259. The next prime is 2956425419. The reversal of 2956425408 is 8045246592.

2956425408 is a `hidden beast` number, since 29 + 564 + 25 + 40 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37648 + ... + 85616.

Almost surely, 22956425408 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 2956425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276717380).

2956425408 is an abundant number, since it is smaller than the sum of its proper divisors (5597009352).

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

2956425408 is a wasteful number, since it uses less digits than its factorization.

2956425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48094 (or 48081 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2956425408 is about 54373.0209570886. The cubic root of 2956425408 is about 1435.2326603381.

The spelling of 2956425408 in words is "two billion, nine hundred fifty-six million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 214 288 321 428 576 642 856 963 1284 1712 1926 2568 3424 3852 5136 6848 7704 10272 15408 20544 30816 47969 61632 95938 143907 191876 287814 383752 431721 575628 767504 863442 1151256 1535008 1726884 2302512 3070016 3453768 4605024 5132683 6907536 9210048 10265366 13815072 15398049 20530732 27630144 30796098 41061464 46194147 61592196 82122928 92388294 123184392 164245856 184776588 246368784 328491712 369553176 492737568 739106352 985475136 1478212704 2956425408