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58426272 = 253422541
BaseRepresentation
bin1101111011100…
…0001110100000
311001221100210000
43132320032200
5104424120042
65444140000
71306420662
oct336701640
9131840700
1058426272
112aa86583
1217697600
13c148878
147a8c532
1551e174c
hex37b83a0

58426272 has 60 divisors (see below), whose sum is σ = 171837666. Its totient is φ = 19474560.

The previous prime is 58426259. The next prime is 58426283. The reversal of 58426272 is 27262485.

58426272 is a `hidden beast` number, since 584 + 2 + 6 + 2 + 72 = 666.

58426272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42458256 + 15968016 = 6516^2 + 3996^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8679 + ... + 13862.

Almost surely, 258426272 is an apocalyptic number.

It is an amenable number.

58426272 is an abundant number, since it is smaller than the sum of its proper divisors (113411394).

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

58426272 is a wasteful number, since it uses less digits than its factorization.

58426272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22563 (or 22546 counting only the distinct ones).

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

The square root of 58426272 is about 7643.7080007023. The cubic root of 58426272 is about 388.0336528008.

The spelling of 58426272 in words is "fifty-eight million, four hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 22541 45082 67623 90164 135246 180328 202869 270492 360656 405738 540984 608607 721312 811476 1081968 1217214 1622952 1825821 2163936 2434428 3245904 3651642 4868856 6491808 7303284 9737712 14606568 19475424 29213136 58426272