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54021384 = 2333383653
BaseRepresentation
bin1100111000010…
…0110100001000
310202122120102000
43032010310020
5102312141014
65205511000
71224113514
oct316046410
9122576360
1054021384
112854807a
1216112460
13b265921
147263144
154b21509
hex3384d08

54021384 has 64 divisors (see below), whose sum is σ = 150681600. Its totient is φ = 17932608.

The previous prime is 54021379. The next prime is 54021391. The reversal of 54021384 is 48312045.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 82402 + ... + 83054.

It is an arithmetic number, because the mean of its divisors is an integer number (2354400).

Almost surely, 254021384 is an apocalyptic number.

54021384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54021384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75340800).

54021384 is an abundant number, since it is smaller than the sum of its proper divisors (96660216).

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

54021384 is a wasteful number, since it uses less digits than its factorization.

54021384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54021384 is about 7349.9240812406. The cubic root of 54021384 is about 378.0262012576.

It can be divided in two parts, 5402 and 1384, that added together give a triangular number (6786 = T116).

The spelling of 54021384 in words is "fifty-four million, twenty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 383 653 766 1149 1306 1532 1959 2298 2612 3064 3447 3918 4596 5224 5877 6894 7836 9192 10341 11754 13788 15672 17631 20682 23508 27576 35262 41364 47016 70524 82728 141048 250099 500198 750297 1000396 1500594 2000792 2250891 3001188 4501782 6002376 6752673 9003564 13505346 18007128 27010692 54021384