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56540616 = 23311792711
BaseRepresentation
bin1101011110101…
…1110111001000
310221101120010220
43113223313020
5103433244431
65335510040
71254405306
oct327536710
9127346126
1056540616
1129a08890
1216b28320
13b9384b2
14771b276
154e6cb96
hex35ebdc8

56540616 has 64 divisors (see below), whose sum is σ = 156211200. Its totient is φ = 16910400.

The previous prime is 56540611. The next prime is 56540629. The reversal of 56540616 is 61604565.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (56540611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19501 + ... + 22211.

It is an arithmetic number, because the mean of its divisors is an integer number (2440800).

Almost surely, 256540616 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 56540616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78105600).

56540616 is an abundant number, since it is smaller than the sum of its proper divisors (99670584).

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

56540616 is a wasteful number, since it uses less digits than its factorization.

56540616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56540616 is about 7519.3494399449. The cubic root of 56540616 is about 383.8134401938.

The spelling of 56540616 in words is "fifty-six million, five hundred forty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 2711 3476 5214 5422 6952 8133 10428 10844 16266 20856 21688 29821 32532 59642 65064 89463 119284 178926 214169 238568 357852 428338 642507 715704 856676 1285014 1713352 2355859 2570028 4711718 5140056 7067577 9423436 14135154 18846872 28270308 56540616