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56755566 = 23676783
BaseRepresentation
bin1101100010000…
…0010101101110
310221210111000000
43120200111232
5104012134231
65344245130
71256262060
oct330402556
9127714000
1056755566
112a04532a
12170107a6
13b9b229a
147775730
154eb16e6
hex362056e

56755566 has 112 divisors (see below), whose sum is σ = 149837184. Its totient is φ = 15781392.

The previous prime is 56755553. The next prime is 56755579. The reversal of 56755566 is 66555765.

It is an interprime number because it is at equal distance from previous prime (56755553) and next prime (56755579).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 683761 + ... + 683843.

It is an arithmetic number, because the mean of its divisors is an integer number (1337832).

Almost surely, 256755566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56755566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74918592).

56755566 is an abundant number, since it is smaller than the sum of its proper divisors (93081618).

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

56755566 is an equidigital number, since it uses as much as digits as its factorization.

56755566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 56755566 is about 7533.6290059970. The cubic root of 56755566 is about 384.2992052811.

The spelling of 56755566 in words is "fifty-six million, seven hundred fifty-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 81 83 126 134 162 166 189 201 243 249 378 402 469 486 498 567 581 603 729 747 938 1134 1162 1206 1407 1458 1494 1701 1743 1809 2241 2814 3402 3486 3618 4221 4482 5103 5229 5427 5561 6723 8442 10206 10458 10854 11122 12663 13446 15687 16281 16683 20169 25326 31374 32562 33366 37989 38927 40338 47061 48843 50049 60507 75978 77854 94122 97686 100098 113967 116781 121014 141183 150147 227934 233562 282366 300294 341901 350343 423549 450441 683802 700686 847098 900882 1051029 1351323 2102058 2702646 3153087 4053969 6306174 8107938 9459261 18918522 28377783 56755566