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54875268 = 223271973157
BaseRepresentation
bin1101000101010…
…1010010000100
310211020221201100
43101111102010
5103022002033
65240100100
71234301130
oct321252204
9124227640
1054875268
1128a80668
1216464630
13b4a4496
1474063c0
154c3e513
hex3455484

54875268 has 144 divisors (see below), whose sum is σ = 170235520. Its totient is φ = 14556672.

The previous prime is 54875257. The next prime is 54875281. The reversal of 54875268 is 86257845.

It is a super-2 number, since 2×548752682 = 6022590076143648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349446 + ... + 349602.

Almost surely, 254875268 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 54875268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85117760).

54875268 is an abundant number, since it is smaller than the sum of its proper divisors (115360252).

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

54875268 is a wasteful number, since it uses less digits than its factorization.

54875268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 261 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 54875268 is about 7407.7842841163. The cubic root of 54875268 is about 380.0075437099.

The spelling of 54875268 in words is "fifty-four million, eight hundred seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 73 76 84 114 126 133 146 157 171 219 228 252 266 292 314 342 399 438 471 511 532 628 657 684 798 876 942 1022 1099 1197 1314 1387 1413 1533 1596 1884 2044 2198 2394 2628 2774 2826 2983 3066 3297 4161 4396 4599 4788 5548 5652 5966 6132 6594 8322 8949 9198 9709 9891 11461 11932 12483 13188 16644 17898 18396 19418 19782 20881 22922 24966 26847 29127 34383 35796 38836 39564 41762 45844 49932 53694 58254 62643 68766 80227 83524 87381 103149 107388 116508 125286 137532 160454 174762 187929 206298 217759 240681 250572 320908 349524 375858 412596 435518 481362 653277 722043 751716 871036 962724 1306554 1444086 1524313 1959831 2613108 2888172 3048626 3919662 4572939 6097252 7839324 9145878 13718817 18291756 27437634 54875268