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51533406 = 23229269367
BaseRepresentation
bin1100010010010…
…1011001011110
310120222011112200
43010211121132
5101143032111
65040312330
71164012111
oct304453136
9116864480
1051533406
11270a88a1
12153126a6
13a8a4352
146bb6578
1547ce256
hex312565e

51533406 has 48 divisors (see below), whose sum is σ = 116251200. Its totient is φ = 16478784.

The previous prime is 51533389. The next prime is 51533429. The reversal of 51533406 is 60433515.

51533406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51533406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140235 + ... + 140601.

It is an arithmetic number, because the mean of its divisors is an integer number (2421900).

Almost surely, 251533406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51533406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58125600).

51533406 is an abundant number, since it is smaller than the sum of its proper divisors (64717794).

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

51533406 is a wasteful number, since it uses less digits than its factorization.

51533406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 51533406 is about 7178.6771761934. The cubic root of 51533406 is about 372.1313705283.

The spelling of 51533406 in words is "fifty-one million, five hundred thirty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 269 367 522 538 734 807 1101 1614 2202 2421 3303 4842 6606 7801 10643 15602 21286 23403 31929 46806 63858 70209 95787 98723 140418 191574 197446 296169 592338 888507 1777014 2862967 5725934 8588901 17177802 25766703 51533406