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52386444 = 223211263503
BaseRepresentation
bin1100011111010…
…1101010001100
310122120111200200
43013311222030
5101402331234
65110453500
71204164105
oct307655214
9118514620
1052386444
1127630790
1215664290
13ab126c6
146d593ac
1548ebd99
hex31f5a8c

52386444 has 72 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 15782880.

The previous prime is 52386409. The next prime is 52386457. The reversal of 52386444 is 44468325.

52386444 is a `hidden beast` number, since 5 + 2 + 3 + 8 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52386399 and 52386408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103897 + ... + 104399.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 252386444 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 52386444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

52386444 is an abundant number, since it is smaller than the sum of its proper divisors (92910708).

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

52386444 is a wasteful number, since it uses less digits than its factorization.

52386444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 782 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 52386444 is about 7237.8480227206. The cubic root of 52386444 is about 374.1734541973.

The spelling of 52386444 in words is "fifty-two million, three hundred eighty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 263 396 503 526 789 1006 1052 1509 1578 2012 2367 2893 3018 3156 4527 4734 5533 5786 6036 8679 9054 9468 11066 11572 16599 17358 18108 22132 26037 33198 34716 49797 52074 66396 99594 104148 132289 199188 264578 396867 529156 793734 1190601 1455179 1587468 2381202 2910358 4365537 4762404 5820716 8731074 13096611 17462148 26193222 52386444