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3125714592 = 2537112132957
BaseRepresentation
bin1011101001001110…
…1001111010100000
322001211120202100010
42322103221322200
522400140331332
61234054524520
7140313064350
oct27223517240
98054522303
103125714592
111364425700
12732966740
133aa75c580
142191acb60
151346279cc
hexba4e9ea0

3125714592 has 288 divisors, whose sum is σ = 11103716736. Its totient is φ = 749168640.

The previous prime is 3125714587. The next prime is 3125714609. The reversal of 3125714592 is 2954175213.

3125714592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3125714592.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055578 + ... + 1058534.

It is an arithmetic number, because the mean of its divisors is an integer number (38554572).

Almost surely, 23125714592 is an apocalyptic number.

3125714592 is a gapful number since it is divisible by the number (32) 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 3125714592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551858368).

3125714592 is an abundant number, since it is smaller than the sum of its proper divisors (7978002144).

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

3125714592 is a wasteful number, since it uses less digits than its factorization.

3125714592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2993 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 3125714592 is about 55908.0905773037. The cubic root of 3125714592 is about 1462.1202995297.

It can be divided in two parts, 3125 and 714592, that added together give a palindrome (717717).

The spelling of 3125714592 in words is "three billion, one hundred twenty-five million, seven hundred fourteen thousand, five hundred ninety-two".