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58235296 = 257499521
BaseRepresentation
bin1101111000100…
…1100110100000
311001120122210211
43132021212200
5104402012141
65440103504
71304664130
oct336114640
9131518724
1058235296
112a966049
1217604b94
13c0ac972
147a3cac0
1551a4d81
hex37899a0

58235296 has 48 divisors (see below), whose sum is σ = 131544000. Its totient is φ = 24860160.

The previous prime is 58235291. The next prime is 58235311. The reversal of 58235296 is 69253285.

It is not an unprimeable number, because it can be changed into a prime (58235291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111516 + ... + 112036.

It is an arithmetic number, because the mean of its divisors is an integer number (2740500).

Almost surely, 258235296 is an apocalyptic number.

58235296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58235296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65772000).

58235296 is an abundant number, since it is smaller than the sum of its proper divisors (73308704).

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

58235296 is a wasteful number, since it uses less digits than its factorization.

58235296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1029 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 58235296 is about 7631.2054093701. The cubic root of 58235296 is about 387.6104071106.

The spelling of 58235296 in words is "fifty-eight million, two hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 499 521 998 1042 1996 2084 3493 3647 3992 4168 6986 7294 7984 8336 13972 14588 15968 16672 27944 29176 55888 58352 111776 116704 259979 519958 1039916 1819853 2079832 3639706 4159664 7279412 8319328 14558824 29117648 58235296