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3894974160 = 24357111911093
BaseRepresentation
bin1110100000101000…
…1001011011010000
3101001110002012002020
43220022021123100
530434103133120
61442254451440
7165343506540
oct35012113320
911043065066
103894974160
11171967a810
12908503b80
134a0c3b44c
1428d415320
1517be2b640
hexe82896d0

3894974160 has 320 divisors, whose sum is σ = 15847557120. Its totient is φ = 766679040.

The previous prime is 3894974107. The next prime is 3894974173. The reversal of 3894974160 is 614794983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345574 + ... + 356666.

It is an arithmetic number, because the mean of its divisors is an integer number (49523616).

Almost surely, 23894974160 is an apocalyptic number.

3894974160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3894974160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7923778560).

3894974160 is an abundant number, since it is smaller than the sum of its proper divisors (11952582960).

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

3894974160 is a wasteful number, since it uses less digits than its factorization.

3894974160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11146 (or 11140 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 3894974160 is about 62409.7280878550. The cubic root of 3894974160 is about 1573.3844739832.

The spelling of 3894974160 in words is "three billion, eight hundred ninety-four million, nine hundred seventy-four thousand, one hundred sixty".