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3940000056 = 23361931237
BaseRepresentation
bin1110101011010111…
…1010000100111000
3101011120210202000000
43222311322010320
531032120000211
61450543513000
7166431306426
oct35265720470
911146722000
103940000056
1117420333a3
1291b5b8760
134aa3747a5
142953b6116
15180d72656
hexead7a138

3940000056 has 336 divisors, whose sum is σ = 12372978600. Its totient is φ = 1171532160.

The previous prime is 3940000039. The next prime is 3940000063. The reversal of 3940000056 is 6500000493.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3939999984 and 3940000029.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 106486470 + ... + 106486506.

Almost surely, 23940000056 is an apocalyptic number.

3940000056 is a gapful number since it is divisible by the number (36) 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 3940000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186489300).

3940000056 is an abundant number, since it is smaller than the sum of its proper divisors (8432978544).

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

3940000056 is a wasteful number, since it uses less digits than its factorization.

3940000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3940000056 is about 62769.4197519780. The cubic root of 3940000056 is about 1579.4240351125.

The spelling of 3940000056 in words is "three billion, nine hundred forty million, fifty-six", and thus it is an aban number.