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54268104 = 233111931349
BaseRepresentation
bin1100111100000…
…1000011001000
310210010002211210
43033001003020
5102343034404
65215053120
71226162022
oct317010310
9123102753
1054268104
11286a6480
12162111a0
13b321007
1472c9012
154b6e689
hex33c10c8

54268104 has 128 divisors (see below), whose sum is σ = 161280000. Its totient is φ = 15033600.

The previous prime is 54268099. The next prime is 54268111. The reversal of 54268104 is 40186245.

It is a super-2 number, since 2×542681042 = 5890054223509632, which contains 22 as substring.

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, 155322 + ... + 155670.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 254268104 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 54268104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640000).

54268104 is an abundant number, since it is smaller than the sum of its proper divisors (107011896).

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

54268104 is a wasteful number, since it uses less digits than its factorization.

54268104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 54268104 is about 7366.6888084132. The cubic root of 54268104 is about 378.6008193764.

It can be divided in two parts, 5426 and 8104, that added together give a triangular number (13530 = T164).

The spelling of 54268104 in words is "fifty-four million, two hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 31 33 38 44 57 62 66 76 88 93 114 124 132 152 186 209 228 248 264 341 349 372 418 456 589 627 682 698 744 836 1023 1047 1178 1254 1364 1396 1672 1767 2046 2094 2356 2508 2728 2792 3534 3839 4092 4188 4712 5016 6479 6631 7068 7678 8184 8376 10819 11517 12958 13262 14136 15356 19437 19893 21638 23034 25916 26524 30712 32457 38874 39786 43276 46068 51832 53048 64914 72941 77748 79572 86552 92136 119009 129828 145882 155496 159144 205561 218823 238018 259656 291764 357027 411122 437646 476036 583528 616683 714054 822244 875292 952072 1233366 1428108 1644488 1750584 2261171 2466732 2856216 4522342 4933464 6783513 9044684 13567026 18089368 27134052 54268104