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54973764 = 223219179449
BaseRepresentation
bin1101000110110…
…1010101000100
310211102221211100
43101231111010
5103033130024
65242140100
71235161236
oct321552504
9124387740
1054973764
112903866a
12164b1630
13b50a271
147430256
154c5d7c9
hex346d544

54973764 has 72 divisors (see below), whose sum is σ = 147420000. Its totient is φ = 17224704.

The previous prime is 54973747. The next prime is 54973771. The reversal of 54973764 is 46737945.

It is a super-2 number, since 2×549737642 = 6044229456655392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122212 + ... + 122660.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 254973764 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 54973764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710000).

54973764 is an abundant number, since it is smaller than the sum of its proper divisors (92446236).

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

54973764 is a wasteful number, since it uses less digits than its factorization.

54973764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 54973764 is about 7414.4294453451. The cubic root of 54973764 is about 380.2347672097.

It can be divided in two parts, 5497 and 3764, that added together give a cube (9261 = 213).

The spelling of 54973764 in words is "fifty-four million, nine hundred seventy-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 179 228 342 358 449 537 684 716 898 1074 1347 1611 1796 2148 2694 3222 3401 4041 5388 6444 6802 8082 8531 10203 13604 16164 17062 20406 25593 30609 34124 40812 51186 61218 76779 80371 102372 122436 153558 160742 241113 307116 321484 482226 723339 964452 1446678 1527049 2893356 3054098 4581147 6108196 9162294 13743441 18324588 27486882 54973764