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3640085928 = 233250556749
BaseRepresentation
bin1101100011110111…
…0100110110101000
3100101200110112011100
43120331310312220
524423330222203
61401111401400
7156130135263
oct33075646650
910350415140
103640085928
1115a8808486
12857083260
134601a6acb
14267625cda
1516487dea3
hexd8f74da8

3640085928 has 24 divisors (see below), whose sum is σ = 9858566250. Its totient is φ = 1213361952.

The previous prime is 3640085927. The next prime is 3640085941. The reversal of 3640085928 is 8295800463.

It can be written as a sum of positive squares in only one way, i.e., 3118328964 + 521756964 = 55842^2 + 22842^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×36400859283 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3640085927) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25278303 + ... + 25278446.

Almost surely, 23640085928 is an apocalyptic number.

It is an amenable number.

3640085928 is an abundant number, since it is smaller than the sum of its proper divisors (6218480322).

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

3640085928 is a wasteful number, since it uses less digits than its factorization.

3640085928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50556761 (or 50556754 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3640085928 is about 60333.1246331565. The cubic root of 3640085928 is about 1538.2864405733.

The spelling of 3640085928 in words is "three billion, six hundred forty million, eighty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 50556749 101113498 151670247 202226996 303340494 404453992 455010741 606680988 910021482 1213361976 1820042964 3640085928