Search a number
-
+
3687942944 = 25716464031
BaseRepresentation
bin1101101111010001…
…1000101100100000
3100112000111220122102
43123310120230200
530023103133234
61405541225532
7160250666150
oct33364305440
910460456572
103687942944
111622825134
1286b1022a8
1346a09197a
1426db22760
15168b83c7e
hexdbd18b20

3687942944 has 24 divisors (see below), whose sum is σ = 8297872128. Its totient is φ = 1580546880.

The previous prime is 3687942943. The next prime is 3687942983. The reversal of 3687942944 is 4492497863.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 3687942944.

It is not an unprimeable number, because it can be changed into a prime (3687942943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8231792 + ... + 8232239.

It is an arithmetic number, because the mean of its divisors is an integer number (345744672).

Almost surely, 23687942944 is an apocalyptic number.

It is an amenable number.

3687942944 is an abundant number, since it is smaller than the sum of its proper divisors (4609929184).

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

3687942944 is a wasteful number, since it uses less digits than its factorization.

3687942944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16464048 (or 16464040 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 56.

The square root of 3687942944 is about 60728.4360411167. The cubic root of 3687942944 is about 1544.9985084627.

The spelling of 3687942944 in words is "three billion, six hundred eighty-seven million, nine hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 16464031 32928062 65856124 115248217 131712248 230496434 263424496 460992868 526848992 921985736 1843971472 3687942944