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55385226 = 23213376397
BaseRepresentation
bin1101001101000…
…1110010001010
310212012212020200
43103101302022
5103134311401
65255033030
71241523651
oct323216212
9125185220
1055385226
1129299816
121666b776
13b622630
1474da198
154ce0686
hex34d1c8a

55385226 has 48 divisors (see below), whose sum is σ = 132745704. Its totient is φ = 16578432.

The previous prime is 55385207. The next prime is 55385243. The reversal of 55385226 is 62258355.

It is a happy number.

55385226 is a `hidden beast` number, since 55 + 385 + 226 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31911201 + 23474025 = 5649^2 + 4845^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5460 + ... + 11856.

Almost surely, 255385226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55385226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66372852).

55385226 is an abundant number, since it is smaller than the sum of its proper divisors (77360478).

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

55385226 is a wasteful number, since it uses less digits than its factorization.

55385226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6452 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 55385226 is about 7442.1250997279. The cubic root of 55385226 is about 381.1810576403.

It can be divided in two parts, 553852 and 26, that added together give a triangular number (553878 = T1052).

The spelling of 55385226 in words is "fifty-five million, three hundred eighty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 6397 8658 12794 19191 38382 57573 83161 115146 166322 236689 249483 473378 498966 710067 748449 1420134 1496898 2130201 3076957 4260402 6153914 9230871 18461742 27692613 55385226