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55358424 = 233311231013
BaseRepresentation
bin1101001100101…
…1001111011000
310212011111111000
43103023033120
5103132432144
65254305000
71241352552
oct323131730
9125144430
1055358424
1129280670
1216658160
13b613384
1474d04d2
154cd7769
hex34cb3d8

55358424 has 128 divisors (see below), whose sum is σ = 175219200. Its totient is φ = 16030080.

The previous prime is 55358399. The next prime is 55358441. The reversal of 55358424 is 42485355.

55358424 is a `hidden beast` number, since 5 + 53 + 584 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 54142 + ... + 55154.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 255358424 is an apocalyptic number.

55358424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55358424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87609600).

55358424 is an abundant number, since it is smaller than the sum of its proper divisors (119860776).

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

55358424 is a wasteful number, since it uses less digits than its factorization.

55358424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1052 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 55358424 is about 7440.3241864854. The cubic root of 55358424 is about 381.1195607162.

The spelling of 55358424 in words is "fifty-five million, three hundred fifty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1013 1188 1242 1518 1656 2024 2026 2277 2376 2484 3036 3039 4052 4554 4968 6072 6078 6831 8104 9108 9117 11143 12156 13662 18216 18234 22286 23299 24312 27324 27351 33429 36468 44572 46598 54648 54702 66858 69897 72936 89144 93196 100287 109404 133716 139794 186392 200574 209691 218808 256289 267432 279588 300861 401148 419382 512578 559176 601722 629073 768867 802296 838764 1025156 1203444 1258146 1537734 1677528 2050312 2306601 2406888 2516292 3075468 4613202 5032584 6150936 6919803 9226404 13839606 18452808 27679212 55358424