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56621656 = 23721341271
BaseRepresentation
bin1101011111111…
…1101001011000
310221112200022101
43113333221120
5103443343111
65341333144
71255163500
oct327775130
9127480271
1056621656
1129a63763
1216b671b4
13b966350
14773ca00
154e86bc1
hex35ffa58

56621656 has 96 divisors (see below), whose sum is σ = 136745280. Its totient is φ = 21772800.

The previous prime is 56621641. The next prime is 56621657. The reversal of 56621656 is 65612665.

56621656 = T168 + T169 + ... + T700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56621657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208801 + ... + 209071.

It is an arithmetic number, because the mean of its divisors is an integer number (1424430).

Almost surely, 256621656 is an apocalyptic number.

56621656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56621656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640).

56621656 is an abundant number, since it is smaller than the sum of its proper divisors (80123624).

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

56621656 is a wasteful number, since it uses less digits than its factorization.

56621656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 56621656 is about 7524.7362744484. The cubic root of 56621656 is about 383.9967266793.

It can be divided in two parts, 566 and 21656, that added together give a palindrome (22222).

The spelling of 56621656 in words is "fifty-six million, six hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 41 49 52 56 82 91 98 104 164 182 196 271 287 328 364 392 533 542 574 637 728 1066 1084 1148 1274 1897 2009 2132 2168 2296 2548 3523 3731 3794 4018 4264 5096 7046 7462 7588 8036 11111 13279 14092 14924 15176 16072 22222 24661 26117 26558 28184 29848 44444 49322 52234 53116 77777 88888 98644 104468 106232 144443 155554 172627 197288 208936 288886 311108 345254 544439 577772 622216 690508 1011101 1088878 1155544 1381016 2022202 2177756 4044404 4355512 7077707 8088808 14155414 28310828 56621656