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3925729080 = 233257213171953
BaseRepresentation
bin1110100111111101…
…1101111100111000
3101010120221200220100
43221333131330320
531014441312310
61445313555400
7166166101200
oct35177357470
911116850810
103925729080
111734a763a9
12916875b60
134a7418c20
1429353d400
1517e9a3ec0
hexe9fddf38

3925729080 has 1152 divisors, whose sum is σ = 18150350400. Its totient is φ = 724598784.

The previous prime is 3925729069. The next prime is 3925729081. The reversal of 3925729080 is 809275293.

3925729080 is a `hidden beast` number, since 39 + 257 + 290 + 80 = 666.

It is a super-2 number, since 2×39257290802 = 30822697619115292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3925729081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74070334 + ... + 74070386.

Almost surely, 23925729080 is an apocalyptic number.

3925729080 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 3925729080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9075175200).

3925729080 is an abundant number, since it is smaller than the sum of its proper divisors (14224621320).

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

3925729080 is a wasteful number, since it uses less digits than its factorization.

3925729080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3925729080 is about 62655.6388523810. The cubic root of 3925729080 is about 1577.5147973091.

The spelling of 3925729080 in words is "three billion, nine hundred twenty-five million, seven hundred twenty-nine thousand, eighty".