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56374350 = 23522331613
BaseRepresentation
bin1101011100001…
…1010001001110
310221002010001220
43113003101032
5103412434400
65332144210
71253113464
oct327032116
9127063056
1056374350
112990497a
1216a68066
13b8aa906
1476b6834
154e387a0
hex35c344e

56374350 has 48 divisors (see below), whose sum is σ = 140495472. Its totient is φ = 14959360.

The previous prime is 56374343. The next prime is 56374379. The reversal of 56374350 is 5347365.

56374350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 34144 + ... + 35756.

It is an arithmetic number, because the mean of its divisors is an integer number (2926989).

Almost surely, 256374350 is an apocalyptic number.

56374350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56374350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70247736).

56374350 is an abundant number, since it is smaller than the sum of its proper divisors (84121122).

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

56374350 is a wasteful number, since it uses less digits than its factorization.

56374350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 56374350 is about 7508.2854234505. The cubic root of 56374350 is about 383.4368508500.

The spelling of 56374350 in words is "fifty-six million, three hundred seventy-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 233 466 699 1165 1398 1613 2330 3226 3495 4839 5825 6990 8065 9678 11650 16130 17475 24195 34950 40325 48390 80650 120975 241950 375829 751658 1127487 1879145 2254974 3758290 5637435 9395725 11274870 18791450 28187175 56374350