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54168696 = 23331967197
BaseRepresentation
bin1100111010100…
…0110001111000
310202221001111000
43032220301320
5102331344241
65213005000
71225266141
oct316506170
9122831430
1054168696
112863881a
1216183760
13b2b79aa
1472a0ac8
154b4eeb6
hex33a8c78

54168696 has 128 divisors (see below), whose sum is σ = 161568000. Its totient is φ = 16765056.

The previous prime is 54168689. The next prime is 54168713. The reversal of 54168696 is 69686145.

54168696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (311040) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274870 + ... + 275066.

It is an arithmetic number, because the mean of its divisors is an integer number (1262250).

Almost surely, 254168696 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 54168696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80784000).

54168696 is an abundant number, since it is smaller than the sum of its proper divisors (107399304).

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

54168696 is a wasteful number, since it uses less digits than its factorization.

54168696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 54168696 is about 7359.9385867003. The cubic root of 54168696 is about 378.3695051462.

The spelling of 54168696 in words is "fifty-four million, one hundred sixty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 67 72 76 108 114 134 152 171 197 201 216 228 268 342 394 402 456 513 536 591 603 684 788 804 1026 1182 1206 1273 1368 1576 1608 1773 1809 2052 2364 2412 2546 3546 3618 3743 3819 4104 4728 4824 5092 5319 7092 7236 7486 7638 10184 10638 11229 11457 13199 14184 14472 14972 15276 21276 22458 22914 26398 29944 30552 33687 34371 39597 42552 44916 45828 52796 67374 68742 79194 89832 91656 101061 105592 118791 134748 137484 158388 202122 237582 250781 269496 274968 316776 356373 404244 475164 501562 712746 752343 808488 950328 1003124 1425492 1504686 2006248 2257029 2850984 3009372 4514058 6018744 6771087 9028116 13542174 18056232 27084348 54168696