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58272 = 253607
BaseRepresentation
bin1110001110100000
32221221020
432032200
53331042
61125440
7331614
oct161640
987836
1058272
113a865
1229880
13206a6
1417344
15123ec
hexe3a0

58272 has 24 divisors (see below), whose sum is σ = 153216. Its totient is φ = 19392.

The previous prime is 58271. The next prime is 58309. The reversal of 58272 is 27285.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (58271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

258272 is an apocalyptic number.

It is an amenable number.

58272 is an abundant number, since it is smaller than the sum of its proper divisors (94944).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608).

58272 is a wasteful number, since it uses less digits than its factorization.

58272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 58272 is about 241.3959403138. The cubic root of 58272 is about 38.7691823167.

The spelling of 58272 in words is "fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 607 1214 1821 2428 3642 4856 7284 9712 14568 19424 29136 58272