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415248864 = 2534325509
BaseRepresentation
bin11000110000000…
…011000111100000
31001221100211100120
4120300003013200
51322300430424
6105112120240
713201362042
oct3060030740
91057324316
10415248864
111a3440688
12b7096080
13680502b4
143d213a92
15266c6a79
hex18c031e0

415248864 has 24 divisors (see below), whose sum is σ = 1090028520. Its totient is φ = 138416256.

The previous prime is 415248863. The next prime is 415248881. The reversal of 415248864 is 468842514.

It is a tau number, because it is divible by the number of its divisors (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415248863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2162659 + ... + 2162850.

It is an arithmetic number, because the mean of its divisors is an integer number (45417855).

Almost surely, 2415248864 is an apocalyptic number.

It is an amenable number.

415248864 is an abundant number, since it is smaller than the sum of its proper divisors (674779656).

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

415248864 is a wasteful number, since it uses less digits than its factorization.

415248864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325522 (or 4325514 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 415248864 is about 20377.6559986668. The cubic root of 415248864 is about 746.0526620338.

The spelling of 415248864 in words is "four hundred fifteen million, two hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4325509 8651018 12976527 17302036 25953054 34604072 51906108 69208144 103812216 138416288 207624432 415248864