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419116512 = 25327715761
BaseRepresentation
bin11000111110110…
…011010111100000
31002012122022202210
4120332303113200
51324243212022
6105331042120
713246301013
oct3076632740
91065568683
10419116512
111a5642491
12b8440340
1368aa5849
143d93d37a
1526bdca0c
hex18fb35e0

419116512 has 48 divisors (see below), whose sum is σ = 1104222672. Its totient is φ = 139192320.

The previous prime is 419116493. The next prime is 419116513. The reversal of 419116512 is 215611914.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4191165122 = 351317301262092288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 419116512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419116513) 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, 18712 + ... + 34472.

It is an arithmetic number, because the mean of its divisors is an integer number (23004639).

Almost surely, 2419116512 is an apocalyptic number.

It is an amenable number.

419116512 is an abundant number, since it is smaller than the sum of its proper divisors (685106160).

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

419116512 is a wasteful number, since it uses less digits than its factorization.

419116512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16051 (or 16043 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 419116512 is about 20472.3352844760. The cubic root of 419116512 is about 748.3617646297.

The spelling of 419116512 in words is "four hundred nineteen million, one hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 277 554 831 1108 1662 2216 3324 4432 6648 8864 13296 15761 26592 31522 47283 63044 94566 126088 189132 252176 378264 504352 756528 1513056 4365797 8731594 13097391 17463188 26194782 34926376 52389564 69852752 104779128 139705504 209558256 419116512