Search a number
-
+
56049360 = 2435409571
BaseRepresentation
bin1101010111001…
…1111011010000
310220110121021020
43111303323100
5103322034420
65321155440
71250261133
oct325637320
9126417236
1056049360
1129702794
121692bb80
13b7c5a03
14763021a
154dc2340
hex3573ed0

56049360 has 80 divisors (see below), whose sum is σ = 174482880. Its totient is φ = 14883840.

The previous prime is 56049359. The next prime is 56049377. The reversal of 56049360 is 6394065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97875 + ... + 98445.

It is an arithmetic number, because the mean of its divisors is an integer number (2181036).

Almost surely, 256049360 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 56049360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87241440).

56049360 is an abundant number, since it is smaller than the sum of its proper divisors (118433520).

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

56049360 is a wasteful number, since it uses less digits than its factorization.

56049360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 56049360 is about 7486.6120508545. The cubic root of 56049360 is about 382.6986110242.

The spelling of 56049360 in words is "fifty-six million, forty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 409 571 818 1142 1227 1636 1713 2045 2284 2454 2855 3272 3426 4090 4568 4908 5710 6135 6544 6852 8180 8565 9136 9816 11420 12270 13704 16360 17130 19632 22840 24540 27408 32720 34260 45680 49080 68520 98160 137040 233539 467078 700617 934156 1167695 1401234 1868312 2335390 2802468 3503085 3736624 4670780 5604936 7006170 9341560 11209872 14012340 18683120 28024680 56049360