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54364068 = 22331167683
BaseRepresentation
bin1100111101100…
…0011110100100
310210021222111000
43033120132210
5102404122233
65221113300
71230041553
oct317303644
9123258430
1054364068
1128761590
1216258830
13b3558b5
147311d9a
154b8cd13
hex33d87a4

54364068 has 96 divisors (see below), whose sum is σ = 156280320. Its totient is φ = 16204320.

The previous prime is 54364033. The next prime is 54364069. The reversal of 54364068 is 86046345.

54364068 is a `hidden beast` number, since 5 + 4 + 3 + 640 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54364069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79255 + ... + 79937.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 254364068 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 54364068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160).

54364068 is an abundant number, since it is smaller than the sum of its proper divisors (101916252).

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

54364068 is a wasteful number, since it uses less digits than its factorization.

54364068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54364068 is about 7373.1993055932. The cubic root of 54364068 is about 378.8238518864.

The spelling of 54364068 in words is "fifty-four million, three hundred sixty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 99 108 132 134 198 201 268 297 396 402 594 603 683 737 804 1188 1206 1366 1474 1809 2049 2211 2412 2732 2948 3618 4098 4422 6147 6633 7236 7513 8196 8844 12294 13266 15026 18441 19899 22539 24588 26532 30052 36882 39798 45078 45761 67617 73764 79596 90156 91522 135234 137283 183044 202851 270468 274566 405702 411849 503371 549132 811404 823698 1006742 1235547 1510113 1647396 2013484 2471094 3020226 4530339 4942188 6040452 9060678 13591017 18121356 27182034 54364068