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55788544 = 210743181
BaseRepresentation
bin1101010011010…
…0010000000000
310212222100111101
43110310100000
5103240213134
65311424144
71245123550
oct324642000
9125870441
1055788544
1129544839
1216825054
13b734096
1475a3160
154d6ee14
hex3534400

55788544 has 88 divisors (see below), whose sum is σ = 131139008. Its totient is φ = 23224320.

The previous prime is 55788539. The next prime is 55788553. The reversal of 55788544 is 44588755.

It is a super-2 number, since 2×557885442 = 6224723283279872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55788494 and 55788503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308134 + ... + 308314.

It is an arithmetic number, because the mean of its divisors is an integer number (1490216).

Almost surely, 255788544 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 55788544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65569504).

55788544 is an abundant number, since it is smaller than the sum of its proper divisors (75350464).

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

55788544 is a wasteful number, since it uses less digits than its factorization.

55788544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its digits is 896000, while the sum is 46.

The square root of 55788544 is about 7469.1729127126. The cubic root of 55788544 is about 382.1040806276.

The spelling of 55788544 in words is "fifty-five million, seven hundred eighty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 181 224 256 301 344 362 448 512 602 688 724 896 1024 1204 1267 1376 1448 1792 2408 2534 2752 2896 3584 4816 5068 5504 5792 7168 7783 9632 10136 11008 11584 15566 19264 20272 22016 23168 31132 38528 40544 44032 46336 54481 62264 77056 81088 92672 108962 124528 154112 162176 185344 217924 249056 308224 324352 435848 498112 648704 871696 996224 1297408 1743392 1992448 3486784 3984896 6973568 7969792 13947136 27894272 55788544