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55893348 = 22337174349
BaseRepresentation
bin1101010100110…
…1110101100100
310220011200021000
43111031311210
5103302041343
65313553300
71246041240
oct325156544
9126150230
1055893348
1129606555
1216875830
13b76c9b4
1475cd420
154d90ed3
hex354dd64

55893348 has 96 divisors (see below), whose sum is σ = 175392000. Its totient is φ = 15026688.

The previous prime is 55893319. The next prime is 55893361. The reversal of 55893348 is 84339855.

It is a happy number.

55893348 is a `hidden beast` number, since 558 + 93 + 3 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10678 + ... + 15026.

It is an arithmetic number, because the mean of its divisors is an integer number (1827000).

Almost surely, 255893348 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 55893348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87696000).

55893348 is an abundant number, since it is smaller than the sum of its proper divisors (119498652).

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

55893348 is a wasteful number, since it uses less digits than its factorization.

55893348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4378 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 55893348 is about 7476.1853909598. The cubic root of 55893348 is about 382.3432037079.

The spelling of 55893348 in words is "fifty-five million, eight hundred ninety-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 4349 6426 8698 12852 13047 17396 26094 30443 39141 52188 60886 73933 78282 91329 117423 121772 147866 156564 182658 221799 234846 273987 295732 365316 443598 469692 517531 547974 665397 821961 887196 1035062 1095948 1330794 1552593 1643922 1996191 2070124 2661588 3105186 3287844 3992382 4657779 6210372 7984764 9315558 13973337 18631116 27946674 55893348