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58444064 = 257237273
BaseRepresentation
bin1101111011110…
…0100100100000
311001222021011222
43132330210200
5104430202224
65444354212
71306523600
oct336744440
9131867158
1058444064
112aa98988
12176a5968
13c1539b3
147a94c00
1551e6b5e
hex37bc920

58444064 has 36 divisors (see below), whose sum is σ = 133850934. Its totient is φ = 25046784.

The previous prime is 58444007. The next prime is 58444069. The reversal of 58444064 is 46044485.

58444064 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., 43296400 + 15147664 = 6580^2 + 3892^2 .

It is not an unprimeable number, because it can be changed into a prime (58444069) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17069 + ... + 20204.

Almost surely, 258444064 is an apocalyptic number.

It is an amenable number.

58444064 is an abundant number, since it is smaller than the sum of its proper divisors (75406870).

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

58444064 is a wasteful number, since it uses less digits than its factorization.

58444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37297 (or 37282 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 58444064 is about 7644.8717451636. The cubic root of 58444064 is about 388.0730368760.

The spelling of 58444064 in words is "fifty-eight million, four hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 37273 74546 149092 260911 298184 521822 596368 1043644 1192736 1826377 2087288 3652754 4174576 7305508 8349152 14611016 29222032 58444064