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479800144 = 24311994861
BaseRepresentation
bin11100100110010…
…010101101010000
31020102211101001201
4130212102231100
51440312101034
6115335440544
714614143145
oct3446225520
91212741051
10479800144
1122691aa4a
12114826154
1378531a15
1447a183cc
152c1c8014
hex1c992b50

479800144 has 40 divisors (see below), whose sum is σ = 964620800. Its totient is φ = 230947200.

The previous prime is 479800073. The next prime is 479800159. The reversal of 479800144 is 441008974.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 96274 + ... + 101134.

It is an arithmetic number, because the mean of its divisors is an integer number (24115520).

Almost surely, 2479800144 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 479800144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482310400).

479800144 is an abundant number, since it is smaller than the sum of its proper divisors (484820656).

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

479800144 is a wasteful number, since it uses less digits than its factorization.

479800144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 479800144 is about 21904.3407570280. The cubic root of 479800144 is about 782.8648451224.

The spelling of 479800144 in words is "four hundred seventy-nine million, eight hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 199 248 398 496 796 1592 3184 4861 6169 9722 12338 19444 24676 38888 49352 77776 98704 150691 301382 602764 967339 1205528 1934678 2411056 3869356 7738712 15477424 29987509 59975018 119950036 239900072 479800144