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3957985350 = 23352111791489
BaseRepresentation
bin1110101111101010…
…0001000001000110
3101012211122111012000
43223322201001012
531101221012400
61452425210130
7200040214614
oct35372410106
911184574160
103957985350
1117511a7a80
12925630946
134b1000b87
142979386b4
15182726600
hexebea1046

3957985350 has 192 divisors, whose sum is σ = 11972448000. Its totient is φ = 953510400.

The previous prime is 3957985333. The next prime is 3957985363. The reversal of 3957985350 is 535897593.

It is a happy number.

3957985350 is a `hidden beast` number, since 39 + 5 + 79 + 8 + 535 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2657406 + ... + 2658894.

It is an arithmetic number, because the mean of its divisors is an integer number (62356500).

Almost surely, 23957985350 is an apocalyptic number.

3957985350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957985350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986224000).

3957985350 is an abundant number, since it is smaller than the sum of its proper divisors (8014462650).

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

3957985350 is a wasteful number, since it uses less digits than its factorization.

3957985350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The square root of 3957985350 is about 62912.5214086989. The cubic root of 3957985350 is about 1581.8236367502.

The spelling of 3957985350 in words is "three billion, nine hundred fifty-seven million, nine hundred eighty-five thousand, three hundred fifty".