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3875388920 = 2351311936247
BaseRepresentation
bin1110011011111101…
…1011110111111000
3101000002020011011222
43212333123313320
530414044421140
61440315011212
7165015155654
oct34677336770
911002204158
103875388920
111709613067
12901a39b08
13499b71a50
1428a997a64
1517a35d5b5
hexe6fdbdf8

3875388920 has 64 divisors (see below), whose sum is σ = 9399741120. Its totient is φ = 1429484544.

The previous prime is 3875388919. The next prime is 3875388931. The reversal of 3875388920 is 298835783.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617237 + ... + 623483.

It is an arithmetic number, because the mean of its divisors is an integer number (146870955).

Almost surely, 23875388920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3875388920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699870560).

3875388920 is an abundant number, since it is smaller than the sum of its proper divisors (5524352200).

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

3875388920 is a wasteful number, since it uses less digits than its factorization.

3875388920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The square root of 3875388920 is about 62252.6217921784. The cubic root of 3875388920 is about 1570.7428726426.

The spelling of 3875388920 in words is "three billion, eight hundred seventy-five million, three hundred eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1193 2386 4772 5965 6247 9544 11930 12494 15509 23860 24988 31018 31235 47720 49976 62036 62470 77545 81211 124072 124940 155090 162422 249880 310180 324844 406055 620360 649688 812110 1624220 3248440 7452671 14905342 29810684 37263355 59621368 74526710 96884723 149053420 193769446 298106840 387538892 484423615 775077784 968847230 1937694460 3875388920