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53831424 = 283292417
BaseRepresentation
bin1100110101011…
…0011100000000
310202021220211110
43031112130000
5102240101144
65201443320
71222362633
oct315263400
9122256743
1053831424
1128428389
1216040540
13b1ca31a
147213c1a
154ad50b9
hex3356700

53831424 has 72 divisors (see below), whose sum is σ = 148271760. Its totient is φ = 17317888.

The previous prime is 53831413. The next prime is 53831489. The reversal of 53831424 is 42413835.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53831391 and 53831400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21064 + ... + 23480.

It is an arithmetic number, because the mean of its divisors is an integer number (2059330).

Almost surely, 253831424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74135880).

53831424 is an abundant number, since it is smaller than the sum of its proper divisors (94440336).

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

53831424 is a wasteful number, since it uses less digits than its factorization.

53831424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2451 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 53831424 is about 7336.9901185704. The cubic root of 53831424 is about 377.5825856184.

The spelling of 53831424 in words is "fifty-three million, eight hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2417 2784 3712 4834 5568 7251 7424 9668 11136 14502 19336 22272 29004 38672 58008 70093 77344 116016 140186 154688 210279 232032 280372 309376 420558 464064 560744 618752 841116 928128 1121488 1682232 1856256 2242976 3364464 4485952 6728928 8971904 13457856 17943808 26915712 53831424