Search a number
-
+
56642208 = 2537312719
BaseRepresentation
bin1101100000010…
…0101010100000
310221120201111120
43120010222200
5104000022313
65342012240
71255310430
oct330045240
9127521446
1056642208
1129a78147
1216b77080
13b9727cc
1477462c0
154e8cd23
hex3604aa0

56642208 has 96 divisors (see below), whose sum is σ = 175472640. Its totient is φ = 15655680.

The previous prime is 56642207. The next prime is 56642231. The reversal of 56642208 is 80224665.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (56642203) 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, 19473 + ... + 22191.

It is an arithmetic number, because the mean of its divisors is an integer number (1827840).

Almost surely, 256642208 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 56642208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87736320).

56642208 is an abundant number, since it is smaller than the sum of its proper divisors (118830432).

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

56642208 is a wasteful number, since it uses less digits than its factorization.

56642208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 56642208 is about 7526.1017798061. The cubic root of 56642208 is about 384.0431809080.

The spelling of 56642208 in words is "fifty-six million, six hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2719 2976 3472 5208 5438 6944 8157 10416 10876 16314 19033 20832 21752 32628 38066 43504 57099 65256 76132 84289 87008 114198 130512 152264 168578 228396 252867 261024 304528 337156 456792 505734 590023 609056 674312 913584 1011468 1180046 1348624 1770069 1827168 2022936 2360092 2697248 3540138 4045872 4720184 7080276 8091744 9440368 14160552 18880736 28321104 56642208