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54688368 = 2437375383
BaseRepresentation
bin1101000010011…
…1101001110000
310210220110100010
43100213221300
5103000011433
65232054520
71232562210
oct320475160
9123813303
1054688368
11289631a9
1216394440
13b43a3a7
147398240
154c03e63
hex3427a70

54688368 has 160 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 14736384.

The previous prime is 54688367. The next prime is 54688393. The reversal of 54688368 is 86388645.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54688363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658855 + ... + 658937.

Almost surely, 254688368 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 54688368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

54688368 is an abundant number, since it is smaller than the sum of its proper divisors (116300688).

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

54688368 is a wasteful number, since it uses less digits than its factorization.

54688368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 54688368 is about 7395.1584161531. The cubic root of 54688368 is about 379.5756296713.

The spelling of 54688368 in words is "fifty-four million, six hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 53 56 74 83 84 106 111 112 148 159 166 168 212 222 249 259 296 318 332 336 371 424 444 498 518 581 592 636 664 742 777 848 888 996 1036 1113 1162 1272 1328 1484 1554 1743 1776 1961 1992 2072 2226 2324 2544 2968 3071 3108 3486 3922 3984 4144 4399 4452 4648 5883 5936 6142 6216 6972 7844 8798 8904 9213 9296 11766 12284 12432 13197 13727 13944 15688 17596 17808 18426 21497 23532 24568 26394 27454 27888 30793 31376 35192 36852 41181 42994 47064 49136 52788 54908 61586 64491 70384 73704 82362 85988 92379 94128 105576 109816 123172 128982 147408 162763 164724 171976 184758 211152 219632 246344 257964 325526 329448 343952 369516 488289 492688 515928 651052 658896 739032 976578 1031856 1139341 1302104 1478064 1953156 2278682 2604208 3418023 3906312 4557364 6836046 7812624 9114728 13672092 18229456 27344184 54688368