Search a number
-
+
58724316 = 22327467499
BaseRepresentation
bin1110000000000…
…0111111011100
311002111111121200
43200000333130
5110013134231
65454355500
71312101630
oct340007734
9132444550
1058724316
113016a4a2
12177bbb90
13c221421
147b28dc0
15524ebe6
hex3800fdc

58724316 has 72 divisors (see below), whose sum is σ = 170352000. Its totient is φ = 16708896.

The previous prime is 58724257. The next prime is 58724357. The reversal of 58724316 is 61342785.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117435 + ... + 117933.

It is an arithmetic number, because the mean of its divisors is an integer number (2366000).

Almost surely, 258724316 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 58724316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176000).

58724316 is an abundant number, since it is smaller than the sum of its proper divisors (111627684).

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

58724316 is a wasteful number, since it uses less digits than its factorization.

58724316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 978 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 58724316 is about 7663.1792358002. The cubic root of 58724316 is about 388.6923462300.

The spelling of 58724316 in words is "fifty-eight million, seven hundred twenty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 467 499 934 998 1401 1497 1868 1996 2802 2994 3269 3493 4203 4491 5604 5988 6538 6986 8406 8982 9807 10479 13076 13972 16812 17964 19614 20958 29421 31437 39228 41916 58842 62874 117684 125748 233033 466066 699099 932132 1398198 1631231 2097297 2796396 3262462 4194594 4893693 6524924 8389188 9787386 14681079 19574772 29362158 58724316