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3940657287 = 373137163601
BaseRepresentation
bin1110101011100001…
…1010100010000111
3101011122001010112220
43222320122202013
531032302013122
61451005543423
7166440014520
oct35270324207
911148033486
103940657287
111742442166
1291b874b73
134aa544998
14295507847
15180e5225c
hexeae1a887

3940657287 has 32 divisors (see below), whose sum is σ = 6366081024. Its totient is φ = 2120256000.

The previous prime is 3940657277. The next prime is 3940657291. The reversal of 3940657287 is 7827560493.

3940657287 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3940657287 - 214 = 3940640903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940657277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57714 + ... + 105887.

It is an arithmetic number, because the mean of its divisors is an integer number (198940032).

Almost surely, 23940657287 is an apocalyptic number.

3940657287 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3940657287 is a deficient number, since it is larger than the sum of its proper divisors (2425423737).

3940657287 is a wasteful number, since it uses less digits than its factorization.

3940657287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163679.

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 3940657287 is about 62774.6548138658. The cubic root of 3940657287 is about 1579.5118514162.

The spelling of 3940657287 in words is "three billion, nine hundred forty million, six hundred fifty-seven thousand, two hundred eighty-seven".

Divisors: 1 3 7 21 31 37 93 111 217 259 651 777 1147 3441 8029 24087 163601 490803 1145207 3435621 5071631 6053237 15214893 18159711 35501417 42372659 106504251 127117977 187650347 562951041 1313552429 3940657287