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54994968 = 23327195743
BaseRepresentation
bin1101000111001…
…0100000011000
310211111000220200
43101302200120
5103034314333
65242422200
71235310120
oct321624030
9124430820
1054994968
1129052596
1216501960
13b516b02
147437c80
154c64c13
hex3472818

54994968 has 96 divisors (see below), whose sum is σ = 179212800. Its totient is φ = 14883264.

The previous prime is 54994963. The next prime is 54994993. The reversal of 54994968 is 86949945.

54994968 is a `hidden beast` number, since 549 + 9 + 4 + 96 + 8 = 666.

It is a super-3 number, since 3×549949683 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54994963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6705 + ... + 12447.

It is an arithmetic number, because the mean of its divisors is an integer number (1866800).

Almost surely, 254994968 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 54994968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89606400).

54994968 is an abundant number, since it is smaller than the sum of its proper divisors (124217832).

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

54994968 is a wasteful number, since it uses less digits than its factorization.

54994968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5781 (or 5774 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 54994968 is about 7415.8592219648. The cubic root of 54994968 is about 380.2836478698.

The spelling of 54994968 in words is "fifty-four million, nine hundred ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 5743 9576 11486 17229 22972 34458 40201 45944 51687 68916 80402 103374 109117 120603 137832 160804 206748 218234 241206 321608 327351 361809 413496 436468 482412 654702 723618 763819 872936 964824 982053 1309404 1447236 1527638 1964106 2291457 2618808 2894472 3055276 3928212 4582914 6110552 6874371 7856424 9165828 13748742 18331656 27497484 54994968