Search a number
-
+
58630792 = 23112371637
BaseRepresentation
bin1101111110101…
…0001010001000
311002022202022211
43133222022020
5110002141132
65452354504
71311232153
oct337521210
9132282284
1058630792
1130106200
1217775a34
13c1ba99c
147b02c9a
155232147
hex37ea288

58630792 has 48 divisors (see below), whose sum is σ = 124176780. Its totient is φ = 25914240.

The previous prime is 58630783. The next prime is 58630811. The reversal of 58630792 is 29703685.

58630792 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 2 ways, for example, as 58277956 + 352836 = 7634^2 + 594^2 .

It is a super-3 number, since 3×586307923 (a number of 24 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 34998 + ... + 36634.

Almost surely, 258630792 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 58630792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62088390).

58630792 is an abundant number, since it is smaller than the sum of its proper divisors (65545988).

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

58630792 is a wasteful number, since it uses less digits than its factorization.

58630792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 58630792 is about 7657.0746372228. The cubic root of 58630792 is about 388.4858935451.

The spelling of 58630792 in words is "fifty-eight million, six hundred thirty thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 814 968 1628 1637 3256 3274 4477 6548 8954 13096 17908 18007 35816 36014 60569 72028 121138 144056 198077 242276 396154 484552 666259 792308 1332518 1584616 2665036 5330072 7328849 14657698 29315396 58630792