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64831424 = 267473079
BaseRepresentation
bin1111011101001…
…1111111000000
311111222202222212
43313103333000
5113044101144
610233321252
71415025620
oct367237700
9144882885
1064831424
1133660899
1219866228
131057c0b8
148878880
155a5949e
hex3dd3fc0

64831424 has 56 divisors (see below), whose sum is σ = 150205440. Its totient is φ = 27184896.

The previous prime is 64831409. The next prime is 64831433. The reversal of 64831424 is 42413846.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×648314242 = 8406227075735552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19517 + ... + 22595.

It is an arithmetic number, because the mean of its divisors is an integer number (2682240).

Almost surely, 264831424 is an apocalyptic number.

64831424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75102720).

64831424 is an abundant number, since it is smaller than the sum of its proper divisors (85374016).

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

64831424 is a wasteful number, since it uses less digits than its factorization.

64831424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3135 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 64831424 is about 8051.7963213186. The cubic root of 64831424 is about 401.7246862885.

The spelling of 64831424 in words is "sixty-four million, eight hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 3079 5264 6158 10528 12316 21056 21553 24632 43106 49264 86212 98528 144713 172424 197056 289426 344848 578852 689696 1012991 1157704 1379392 2025982 2315408 4051964 4630816 8103928 9261632 16207856 32415712 64831424