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54672480 = 2532537967
BaseRepresentation
bin1101000010001…
…1110001100000
310210212122112200
43100203301200
5102444004410
65231453200
71232464662
oct320436140
9123778480
1054672480
1128952275
1216387200
13b4330a5
147392532
154bee3c0
hex3423c60

54672480 has 72 divisors (see below), whose sum is σ = 186574752. Its totient is φ = 14578944.

The previous prime is 54672473. The next prime is 54672509. The reversal of 54672480 is 8427645.

54672480 is a `hidden beast` number, since 546 + 72 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17544 + ... + 20423.

It is an arithmetic number, because the mean of its divisors is an integer number (2591316).

Almost surely, 254672480 is an apocalyptic number.

It is an amenable number.

54672480 is an abundant number, since it is smaller than the sum of its proper divisors (131902272).

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

54672480 is a wasteful number, since it uses less digits than its factorization.

54672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37988 (or 37977 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54672480 is about 7394.0841217828. The cubic root of 54672480 is about 379.5388681568.

The spelling of 54672480 in words is "fifty-four million, six hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 37967 75934 113901 151868 189835 227802 303736 341703 379670 455604 569505 607472 683406 759340 911208 1139010 1214944 1366812 1518680 1708515 1822416 2278020 2733624 3037360 3417030 3644832 4556040 5467248 6074720 6834060 9112080 10934496 13668120 18224160 27336240 54672480