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55238016 = 2731967113
BaseRepresentation
bin1101001010110…
…1110110000000
310211221101022110
43102231312000
5103120104031
65251535320
71240341531
oct322556600
9124841273
1055238016
11291a9159
12165ba540
13b5a0622
14749c688
154cb1c46
hex34add80

55238016 has 128 divisors (see below), whose sum is σ = 158140800. Its totient is φ = 17031168.

The previous prime is 55237999. The next prime is 55238023. The reversal of 55238016 is 61083255.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488776 + ... + 488888.

It is an arithmetic number, because the mean of its divisors is an integer number (1235475).

Almost surely, 255238016 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 55238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79070400).

55238016 is an abundant number, since it is smaller than the sum of its proper divisors (102902784).

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

55238016 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (55238015) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (216).

55238016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 55238016 is about 7432.2281988647. The cubic root of 55238016 is about 380.8430405886.

The spelling of 55238016 in words is "fifty-five million, two hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 113 114 128 134 152 192 201 226 228 268 304 339 384 402 452 456 536 608 678 804 904 912 1072 1216 1273 1356 1608 1808 1824 2144 2147 2432 2546 2712 3216 3616 3648 3819 4288 4294 5092 5424 6432 6441 7232 7296 7571 7638 8576 8588 10184 10848 12864 12882 14464 15142 15276 17176 20368 21696 22713 25728 25764 30284 30552 34352 40736 43392 45426 51528 60568 61104 68704 81472 90852 103056 121136 122208 137408 143849 162944 181704 206112 242272 244416 274816 287698 363408 412224 431547 484544 488832 575396 726816 824448 863094 969088 1150792 1453632 1726188 2301584 2907264 3452376 4603168 6904752 9206336 13809504 18412672 27619008 55238016