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54015864 = 23372911087
BaseRepresentation
bin1100111000001…
…1011101111000
310202122021211120
43032003131320
5102312001424
65205425240
71224061440
oct316033570
9122567746
1054015864
1128543a11
121610b220
13b263266
147261120
154b1ea79
hex3383778

54015864 has 64 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 14899584.

The previous prime is 54015821. The next prime is 54015887. The reversal of 54015864 is 46851045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672 + ... + 10415.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 254015864 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 54015864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

54015864 is an abundant number, since it is smaller than the sum of its proper divisors (105651336).

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

54015864 is a wasteful number, since it uses less digits than its factorization.

54015864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11132 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 54015864 is about 7349.5485575646. The cubic root of 54015864 is about 378.0133250251.

The spelling of 54015864 in words is "fifty-four million, fifteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 11087 22174 33261 44348 66522 77609 88696 133044 155218 232827 266088 310436 321523 465654 620872 643046 931308 964569 1286092 1862616 1929138 2250661 2572184 3858276 4501322 6751983 7716552 9002644 13503966 18005288 27007932 54015864