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3742288256 = 27731134731
BaseRepresentation
bin1101111100001110…
…1100100110000000
3100122210202221101202
43133003230212000
530131011211011
61415202120332
7161510632250
oct33703544600
910583687352
103742288256
111650473613
128853500a8
1347840bb65
1427702b960
1516d81b23b
hexdf0ec980

3742288256 has 64 divisors (see below), whose sum is σ = 8795304960. Its totient is φ = 1552089600.

The previous prime is 3742288229. The next prime is 3742288271. The reversal of 3742288256 is 6528822473.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3742288256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39590 + ... + 95141.

It is an arithmetic number, because the mean of its divisors is an integer number (137426640).

Almost surely, 23742288256 is an apocalyptic number.

It is an amenable number.

3742288256 is an abundant number, since it is smaller than the sum of its proper divisors (5053016704).

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

3742288256 is a wasteful number, since it uses less digits than its factorization.

3742288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134783 (or 134771 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 47.

The square root of 3742288256 is about 61174.2450382512. The cubic root of 3742288256 is about 1552.5505362559.

The spelling of 3742288256 in words is "three billion, seven hundred forty-two million, two hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13888 27776 134731 269462 538924 943117 1077848 1886234 2155696 3772468 4176661 4311392 7544936 8353322 8622784 15089872 16706644 17245568 29236627 30179744 33413288 58473254 60359488 66826576 116946508 120718976 133653152 233893016 267306304 467786032 534612608 935572064 1871144128 3742288256