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479140000 = 255423957
BaseRepresentation
bin11100100011110…
…001100010100000
31020101120211111221
4130203301202200
51440124440000
6115313344424
714605423423
oct3443614240
91211524457
10479140000
11226509a79
12114568114
13783603c1
14478c59ba
152c0e761a
hex1c8f18a0

479140000 has 60 divisors (see below), whose sum is σ = 1178805474. Its totient is φ = 191648000.

The previous prime is 479139989. The next prime is 479140007. The reversal of 479140000 is 41974.

It can be written as a sum of positive squares in 5 ways, for example, as 36626704 + 442513296 = 6052^2 + 21036^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (479140007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8022 + ... + 31978.

Almost surely, 2479140000 is an apocalyptic number.

479140000 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 479140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589402737).

479140000 is an abundant number, since it is smaller than the sum of its proper divisors (699665474).

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

479140000 is an equidigital number, since it uses as much as digits as its factorization.

479140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23987 (or 23964 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 479140000 is about 21889.2667762079. The cubic root of 479140000 is about 782.5056394984.

Adding to 479140000 its reverse (41974), we get a palindrome (479181974).

The spelling of 479140000 in words is "four hundred seventy-nine million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 23957 47914 95828 119785 191656 239570 383312 479140 598925 766624 958280 1197850 1916560 2395700 2994625 3833120 4791400 5989250 9582800 11978500 14973125 19165600 23957000 29946250 47914000 59892500 95828000 119785000 239570000 479140000