Search a number
-
+
875794080 = 25357614273
BaseRepresentation
bin110100001100111…
…000111010100000
32021000221221121210
4310030320322200
53243200402310
6222523150120
730463061340
oct6414707240
92230857553
10875794080
1140a3aa067
12205375340
1310c59ca65
1484458d20
1551d49820
hex34338ea0

875794080 has 192 divisors, whose sum is σ = 3205294848. Its totient is φ = 196853760.

The previous prime is 875794061. The next prime is 875794093. The reversal of 875794080 is 80497578.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202824 + ... + 207096.

It is an arithmetic number, because the mean of its divisors is an integer number (16694244).

Almost surely, 2875794080 is an apocalyptic number.

875794080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875794080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602647424).

875794080 is an abundant number, since it is smaller than the sum of its proper divisors (2329500768).

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

875794080 is a wasteful number, since it uses less digits than its factorization.

875794080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 875794080 is about 29593.8182734165. The cubic root of 875794080 is about 956.7548411217.

The spelling of 875794080 in words is "eight hundred seventy-five million, seven hundred ninety-four thousand, eighty".