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427811824 = 24112430749
BaseRepresentation
bin11001011111111…
…110001111110000
31002211000002111101
4121133332033300
51334004434244
6110241254144
713413224536
oct3137761760
91084002441
10427811824
111aa5413a0
12bb334354
136a82b5bb
1440b64156
15278590d4
hex197fe3f0

427811824 has 20 divisors (see below), whose sum is σ = 904239000. Its totient is φ = 194459840.

The previous prime is 427811821. The next prime is 427811827. The reversal of 427811824 is 428118724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427811821) and next prime (427811827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427811821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1215199 + ... + 1215550.

It is an arithmetic number, because the mean of its divisors is an integer number (45211950).

Almost surely, 2427811824 is an apocalyptic number.

427811824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427811824 is an abundant number, since it is smaller than the sum of its proper divisors (476427176).

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

427811824 is a wasteful number, since it uses less digits than its factorization.

427811824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430768 (or 2430762 counting only the distinct ones).

The product of its digits is 28672, while the sum is 37.

The square root of 427811824 is about 20683.6124504401. The cubic root of 427811824 is about 753.5017428763.

The spelling of 427811824 in words is "four hundred twenty-seven million, eight hundred eleven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 2430749 4861498 9722996 19445992 26738239 38891984 53476478 106952956 213905912 427811824