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415401056 = 2578322343
BaseRepresentation
bin11000110000101…
…000010001100000
31001221122120010022
4120300220101200
51322320313211
6105115253012
713202564540
oct3060502140
91057576108
10415401056
111a3534a64
12b714a168
13680a4655
143d253320
1526706bdb
hex18c28460

415401056 has 48 divisors (see below), whose sum is σ = 945955584. Its totient is φ = 175876224.

The previous prime is 415401031. The next prime is 415401059. The reversal of 415401056 is 650104514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415401059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7421 + ... + 29763.

It is an arithmetic number, because the mean of its divisors is an integer number (19707408).

Almost surely, 2415401056 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 415401056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472977792).

415401056 is an abundant number, since it is smaller than the sum of its proper divisors (530554528).

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

415401056 is a wasteful number, since it uses less digits than its factorization.

415401056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22443 (or 22435 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 415401056 is about 20381.3899427885. The cubic root of 415401056 is about 746.1437956390.

The spelling of 415401056 in words is "four hundred fifteen million, four hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1162 1328 2324 2656 4648 9296 18592 22343 44686 89372 156401 178744 312802 357488 625604 714976 1251208 1854469 2502416 3708938 5004832 7417876 12981283 14835752 25962566 29671504 51925132 59343008 103850264 207700528 415401056