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54366272 = 2617107467
BaseRepresentation
bin1100111101100…
…1000001000000
310210022002111122
43033121001000
5102404210042
65221131412
71230051152
oct317310100
9123262448
1054366272
1128763204
1216259b68
13b3568bc
147312ad2
154b8d7d2
hex33d9040

54366272 has 56 divisors (see below), whose sum is σ = 115543584. Its totient is φ = 25290752.

The previous prime is 54366259. The next prime is 54366313. The reversal of 54366272 is 27266345.

It is a super-4 number, since 4×543662724 (a number of 32 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116183 + ... + 116649.

Almost surely, 254366272 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 54366272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57771792).

54366272 is an abundant number, since it is smaller than the sum of its proper divisors (61177312).

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

54366272 is a wasteful number, since it uses less digits than its factorization.

54366272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 593 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 54366272 is about 7373.3487642997. The cubic root of 54366272 is about 378.8289711776.

The spelling of 54366272 in words is "fifty-four million, three hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 136 214 272 428 467 544 856 934 1088 1712 1819 1868 3424 3638 3736 6848 7276 7472 7939 14552 14944 15878 29104 29888 31756 49969 58208 63512 99938 116416 127024 199876 254048 399752 508096 799504 849473 1599008 1698946 3198016 3397892 6795784 13591568 27183136 54366272