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94272 = 263491
BaseRepresentation
bin10111000001000000
311210022120
4113001000
511004042
62004240
7541563
oct270100
9153276
1094272
1164912
1246680
1333ba9
14264da
151cdec
hex17040

94272 has 28 divisors (see below), whose sum is σ = 249936. Its totient is φ = 31360.

The previous prime is 94261. The next prime is 94273. The reversal of 94272 is 27249.

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

It is a d-powerful number, because it can be written as 95 + 43 + 211 + 73 + 215 .

It is not an unprimeable number, because it can be changed into a prime (94273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54 + ... + 437.

294272 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 94272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124968).

94272 is an abundant number, since it is smaller than the sum of its proper divisors (155664).

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

94272 is a wasteful number, since it uses less digits than its factorization.

94272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 94272 is about 307.0374569983. The cubic root of 94272 is about 45.5121732111.

The spelling of 94272 in words is "ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 491 982 1473 1964 2946 3928 5892 7856 11784 15712 23568 31424 47136 94272