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55459768 = 23721310883
BaseRepresentation
bin1101001110001…
…1111110111000
310212100122111111
43103203332320
5103144203033
65300410104
71242254200
oct323437670
9125318444
1055459768
112933a821
12166a6934
13b64a540
147519400
154d077cd
hex34e3fb8

55459768 has 48 divisors (see below), whose sum is σ = 130281480. Its totient is φ = 21938112.

The previous prime is 55459741. The next prime is 55459771. The reversal of 55459768 is 86795455.

It is a super-2 number, since 2×554597682 = 6151571733227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 10537.

Almost surely, 255459768 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 55459768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65140740).

55459768 is an abundant number, since it is smaller than the sum of its proper divisors (74821712).

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

55459768 is a wasteful number, since it uses less digits than its factorization.

55459768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916 (or 10905 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 49.

The square root of 55459768 is about 7447.1315283134. The cubic root of 55459768 is about 381.3519892688.

The spelling of 55459768 in words is "fifty-five million, four hundred fifty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 10883 21766 43532 76181 87064 141479 152362 282958 304724 533267 565916 609448 990353 1066534 1131832 1980706 2133068 3961412 4266136 6932471 7922824 13864942 27729884 55459768