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58101072 = 2431210439
BaseRepresentation
bin1101110110100…
…0110101010000
311001022211200120
43131220311100
5104333213242
65433150240
71303564611
oct335506520
9131284616
1058101072
112a884217
121755b380
13c063843
147a05c08
15517a1ec
hex3768d50

58101072 has 20 divisors (see below), whose sum is σ = 150094560. Its totient is φ = 19367008.

The previous prime is 58101067. The next prime is 58101077. The reversal of 58101072 is 27010185.

58101072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58101067) and next prime (58101077).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58101077) 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 3 ways as a sum of consecutive naturals, for example, 605172 + ... + 605267.

It is an arithmetic number, because the mean of its divisors is an integer number (7504728).

Almost surely, 258101072 is an apocalyptic number.

It is an amenable number.

58101072 is an abundant number, since it is smaller than the sum of its proper divisors (91993488).

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

58101072 is a wasteful number, since it uses less digits than its factorization.

58101072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210450 (or 1210444 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 58101072 is about 7622.4059193932. The cubic root of 58101072 is about 387.3123825709.

The spelling of 58101072 in words is "fifty-eight million, one hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1210439 2420878 3631317 4841756 7262634 9683512 14525268 19367024 29050536 58101072