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419885472 = 25337118211
BaseRepresentation
bin11001000001101…
…111000110100000
31002021002101120210
4121001233012200
51324442313342
6105355334120
713255652616
oct3101570640
91067071523
10419885472
111a6018196
12b8751340
1368cb4856
143da9d6b6
1526ce079c
hex1906f1a0

419885472 has 48 divisors (see below), whose sum is σ = 1131998112. Its totient is φ = 136177920.

The previous prime is 419885471. The next prime is 419885489. The reversal of 419885472 is 274588914.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (419885471) 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, 55554 + ... + 62657.

It is an arithmetic number, because the mean of its divisors is an integer number (23583294).

Almost surely, 2419885472 is an apocalyptic number.

It is an amenable number.

419885472 is an abundant number, since it is smaller than the sum of its proper divisors (712112640).

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

419885472 is a wasteful number, since it uses less digits than its factorization.

419885472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118261 (or 118253 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 419885472 is about 20491.1071443199. The cubic root of 419885472 is about 748.8191622498.

The spelling of 419885472 in words is "four hundred nineteen million, eight hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 118211 236422 354633 472844 709266 945688 1418532 1891376 2837064 3782752 4373807 5674128 8747614 11348256 13121421 17495228 26242842 34990456 52485684 69980912 104971368 139961824 209942736 419885472