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415312056 = 23333076263
BaseRepresentation
bin11000110000010…
…010100010111000
31001221111001001000
4120300102202320
51322304441211
6105113325000
713202044215
oct3060224270
91057431030
10415312056
111a3484105
12b7106760
1368072ca3
143d22cb0c
15266da656
hex18c128b8

415312056 has 64 divisors (see below), whose sum is σ = 1157587200. Its totient is φ = 137964384.

The previous prime is 415312019. The next prime is 415312067. The reversal of 415312056 is 650213514.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63181 + ... + 69443.

It is an arithmetic number, because the mean of its divisors is an integer number (18087300).

Almost surely, 2415312056 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 415312056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578793600).

415312056 is an abundant number, since it is smaller than the sum of its proper divisors (742275144).

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

415312056 is a wasteful number, since it uses less digits than its factorization.

415312056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 415312056 is about 20379.2064614891. The cubic root of 415312056 is about 746.0905045363.

The spelling of 415312056 in words is "four hundred fifteen million, three hundred twelve thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 307 614 921 1228 1842 2456 2763 3684 5526 6263 7368 8289 11052 12526 16578 18789 22104 25052 33156 37578 50104 56367 66312 75156 112734 150312 169101 225468 338202 450936 676404 1352808 1922741 3845482 5768223 7690964 11536446 15381928 17304669 23072892 34609338 46145784 51914007 69218676 103828014 138437352 207656028 415312056