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58097152 = 29233487
BaseRepresentation
bin1101110110011…
…1111000000000
311001022122022101
43131213320000
5104333102102
65433120144
71303550311
oct335477000
9131278271
1058097152
112a881283
1217559054
13c061b19
147a04608
155178e87
hex3767e00

58097152 has 40 divisors (see below), whose sum is σ = 116818416. Its totient is φ = 28864512.

The previous prime is 58097113. The next prime is 58097159. The reversal of 58097152 is 25179085.

58097152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×580971522 = 6750558141022208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58097159) 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, 119053 + ... + 119539.

Almost surely, 258097152 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 58097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58409208).

58097152 is an abundant number, since it is smaller than the sum of its proper divisors (58721264).

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

58097152 is an equidigital number, since it uses as much as digits as its factorization.

58097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 58097152 is about 7622.1487783958. The cubic root of 58097152 is about 387.3036718958.

The spelling of 58097152 in words is "fifty-eight million, ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 487 512 932 974 1864 1948 3728 3896 7456 7792 14912 15584 29824 31168 59648 62336 113471 119296 124672 226942 249344 453884 907768 1815536 3631072 7262144 14524288 29048576 58097152