Search a number
-
+
58100856 = 233111012179
BaseRepresentation
bin1101110110100…
…0110001111000
311001022211101120
43131220301320
5104333211411
65433145240
71303564152
oct335506170
9131284346
1058100856
112a884040
121755b220
13c063708
147a05ad2
15517a106
hex3768c78

58100856 has 64 divisors (see below), whose sum is σ = 160099200. Its totient is φ = 17424000.

The previous prime is 58100843. The next prime is 58100857. The reversal of 58100856 is 65800185.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58100857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25575 + ... + 27753.

It is an arithmetic number, because the mean of its divisors is an integer number (2501550).

Almost surely, 258100856 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 58100856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80049600).

58100856 is an abundant number, since it is smaller than the sum of its proper divisors (101998344).

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

58100856 is a wasteful number, since it uses less digits than its factorization.

58100856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 58100856 is about 7622.3917506253. The cubic root of 58100856 is about 387.3119026052.

The spelling of 58100856 in words is "fifty-eight million, one hundred thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2179 2222 2424 3333 4358 4444 6537 6666 8716 8888 13074 13332 17432 23969 26148 26664 47938 52296 71907 95876 143814 191752 220079 287628 440158 575256 660237 880316 1320474 1760632 2420869 2640948 4841738 5281896 7262607 9683476 14525214 19366952 29050428 58100856