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3875681250 = 23355717193
BaseRepresentation
bin1110011100000010…
…0011001111100010
3101000002210000012000
43213000203033202
530414133300000
61440325144430
7165020514150
oct34700431742
911002700160
103875681250
1117097a2761
12901b5b116
13499c44b1c
1428aa323d0
1517a3ba000
hexe70233e2

3875681250 has 384 divisors, whose sum is σ = 13094161920. Its totient is φ = 829440000.

The previous prime is 3875681221. The next prime is 3875681363. The reversal of 3875681250 is 521865783.

3875681250 is a `hidden beast` number, since 3 + 87 + 568 + 1 + 2 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3875681196 and 3875681205.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20081154 + ... + 20081346.

It is an arithmetic number, because the mean of its divisors is an integer number (34099380).

Almost surely, 23875681250 is an apocalyptic number.

3875681250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3875681250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547080960).

3875681250 is an abundant number, since it is smaller than the sum of its proper divisors (9218480670).

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

3875681250 is a wasteful number, since it uses less digits than its factorization.

3875681250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 3875681250 is about 62254.9696811427. The cubic root of 3875681250 is about 1570.7823666331.

3875681250 divided by its sum of digits (45) gives a triangular number (86126250 = T13124).

The spelling of 3875681250 in words is "three billion, eight hundred seventy-five million, six hundred eighty-one thousand, two hundred fifty".