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54116608 = 2871323101
BaseRepresentation
bin1100111001110…
…0000100000000
310202211102000211
43032130010000
5102323212413
65211523504
71224661240
oct316340400
9122742024
1054116608
1128602677
1216159594
13b29a080
147289b20
154b3e83d
hex339c100

54116608 has 144 divisors (see below), whose sum is σ = 140103936. Its totient is φ = 20275200.

The previous prime is 54116561. The next prime is 54116609. The reversal of 54116608 is 80661145.

It is a super-2 number, since 2×541166082 = 5857214522851328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54116608.

It is not an unprimeable number, because it can be changed into a prime (54116609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535758 + ... + 535858.

It is an arithmetic number, because the mean of its divisors is an integer number (972944).

Almost surely, 254116608 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 54116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70051968).

54116608 is an abundant number, since it is smaller than the sum of its proper divisors (85987328).

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

54116608 is a wasteful number, since it uses less digits than its factorization.

54116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 54116608 is about 7356.3991191343. The cubic root of 54116608 is about 378.2481876524.

The spelling of 54116608 in words is "fifty-four million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 101 104 112 128 161 182 184 202 208 224 256 299 322 364 368 404 416 448 598 644 707 728 736 808 832 896 1196 1288 1313 1414 1456 1472 1616 1664 1792 2093 2323 2392 2576 2626 2828 2912 2944 3232 3328 4186 4646 4784 5152 5252 5656 5824 5888 6464 8372 9191 9292 9568 10304 10504 11312 11648 12928 16261 16744 18382 18584 19136 20608 21008 22624 23296 25856 30199 32522 33488 36764 37168 38272 41216 42016 45248 60398 65044 66976 73528 74336 76544 84032 90496 120796 130088 133952 147056 148672 168064 180992 211393 241592 260176 267904 294112 297344 336128 422786 483184 520352 535808 588224 594688 845572 966368 1040704 1176448 1691144 1932736 2081408 2352896 3382288 3865472 4162816 6764576 7730944 13529152 27058304 54116608