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488100416 = 267626569
BaseRepresentation
bin11101000101111…
…101001001000000
31021000110001220012
4131011331021000
51444423203131
6120233404052
715044533166
oct3505751100
91230401805
10488100416
1123057a081
12117569628
137a179a1b
1448b79236
152ccb752b
hex1d17d240

488100416 has 14 divisors (see below), whose sum is σ = 968574390. Its totient is φ = 244050176.

The previous prime is 488100409. The next prime is 488100469. The reversal of 488100416 is 614001884.

It can be written as a sum of positive squares in only one way, i.e., 306390016 + 181710400 = 17504^2 + 13480^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 as a sum of consecutive naturals, namely, 3813221 + ... + 3813348.

It is an arithmetic number, because the mean of its divisors is an integer number (69183885).

Almost surely, 2488100416 is an apocalyptic number.

It is an amenable number.

488100416 is a deficient number, since it is larger than the sum of its proper divisors (480473974).

488100416 is an equidigital number, since it uses as much as digits as its factorization.

488100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626581 (or 7626571 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 488100416 is about 22092.9947268359. The cubic root of 488100416 is about 787.3534339143.

The spelling of 488100416 in words is "four hundred eighty-eight million, one hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 7626569 15253138 30506276 61012552 122025104 244050208 488100416