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479141248 = 272924451
BaseRepresentation
bin11100100011110…
…001110110000000
31020101120220020011
4130203301312000
51440130004443
6115313354304
714605430155
oct3443616600
91211526204
10479141248
1122650aa03
12114568994
1378360b41
14478c622c
152c0e7b9d
hex1c8f1d80

479141248 has 48 divisors (see below), whose sum is σ = 988811460. Its totient is φ = 231257600.

The previous prime is 479141227. The next prime is 479141261. The reversal of 479141248 is 842141974.

It is a self number, because there is not a number n which added to its sum of digits gives 479141248.

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 5 ways as a sum of consecutive naturals, for example, 105423 + ... + 109873.

Almost surely, 2479141248 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 479141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494405730).

479141248 is an abundant number, since it is smaller than the sum of its proper divisors (509670212).

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

479141248 is an equidigital number, since it uses as much as digits as its factorization.

479141248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4482 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 479141248 is about 21889.2952833114. The cubic root of 479141248 is about 782.5063188866.

The spelling of 479141248 in words is "four hundred seventy-nine million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 841 928 1682 1856 3364 3712 4451 6728 8902 13456 17804 26912 35608 53824 71216 107648 129079 142432 258158 284864 516316 569728 1032632 2065264 3743291 4130528 7486582 8261056 14973164 16522112 29946328 59892656 119785312 239570624 479141248