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55630368 = 253331267
BaseRepresentation
bin1101010000110…
…1101000100000
310212200022112000
43110031220200
5103220132433
65304204000
71243564443
oct324155040
9125608460
1055630368
1129446a12
1216769600
13b6aa0a1
14756165a
154d3d113
hex350da20

55630368 has 144 divisors (see below), whose sum is σ = 170160480. Its totient is φ = 17677440.

The previous prime is 55630349. The next prime is 55630387. The reversal of 55630368 is 86303655.

It is an interprime number because it is at equal distance from previous prime (55630349) and next prime (55630387).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830271 + ... + 830337.

It is an arithmetic number, because the mean of its divisors is an integer number (1181670).

Almost surely, 255630368 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 55630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85080240).

55630368 is an abundant number, since it is smaller than the sum of its proper divisors (114530112).

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

55630368 is a wasteful number, since it uses less digits than its factorization.

55630368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 55630368 is about 7458.5768079440. The cubic root of 55630368 is about 381.7426151010.

The spelling of 55630368 in words is "fifty-five million, six hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 67 72 93 96 108 124 134 144 186 201 216 248 268 279 288 372 402 432 496 536 558 603 744 804 837 864 961 992 1072 1116 1206 1488 1608 1674 1809 1922 2077 2144 2232 2412 2883 2976 3216 3348 3618 3844 4154 4464 4824 5766 6231 6432 6696 7236 7688 8308 8649 8928 9648 11532 12462 13392 14472 15376 16616 17298 18693 19296 23064 24924 25947 26784 28944 30752 33232 34596 37386 46128 49848 51894 56079 57888 64387 66464 69192 74772 92256 99696 103788 112158 128774 138384 149544 193161 199392 207576 224316 257548 276768 299088 386322 415152 448632 515096 579483 598176 772644 830304 897264 1030192 1158966 1545288 1738449 1794528 2060384 2317932 3090576 3476898 4635864 6181152 6953796 9271728 13907592 18543456 27815184 55630368