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425162880 = 27325223331
BaseRepresentation
bin11001010101110…
…111100010000000
31002122000111211100
4121111313202000
51332320203010
6110104414400
713351552632
oct3125674200
91078014740
10425162880
111a8aa218a
12ba477400
136a11198c
1440674a52
15274d42c0
hex19577880

425162880 has 192 divisors, whose sum is σ = 1479179520. Its totient is φ = 112527360.

The previous prime is 425162827. The next prime is 425162891. The reversal of 425162880 is 88261524.

425162880 is a `hidden beast` number, since 4 + 25 + 1 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1284315 + ... + 1284645.

It is an arithmetic number, because the mean of its divisors is an integer number (7704060).

Almost surely, 2425162880 is an apocalyptic number.

425162880 is a gapful number since it is divisible by the number (40) 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 425162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739589760).

425162880 is an abundant number, since it is smaller than the sum of its proper divisors (1054016640).

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

425162880 is a wasteful number, since it uses less digits than its factorization.

425162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 425162880 is about 20619.4781699247. The cubic root of 425162880 is about 751.9433335903.

The spelling of 425162880 in words is "four hundred twenty-five million, one hundred sixty-two thousand, eight hundred eighty".