Search a number
-
+
58831332 = 22372337823
BaseRepresentation
bin1110000001101…
…1000111100100
311002200221102020
43200123013210
5110030100312
65500543140
71313025630
oct340330744
9132627366
1058831332
113023293a
1217851ab0
13c25b051
147b55dc0
15527178c
hex381b1e4

58831332 has 96 divisors (see below), whose sum is σ = 168333312. Its totient is φ = 15624576.

The previous prime is 58831327. The next prime is 58831361. The reversal of 58831332 is 23313885.

It is a super-2 number, since 2×588313322 = 6922251249788448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58831293 and 58831302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71073 + ... + 71895.

It is an arithmetic number, because the mean of its divisors is an integer number (1753472).

Almost surely, 258831332 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 58831332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84166656).

58831332 is an abundant number, since it is smaller than the sum of its proper divisors (109501980).

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

58831332 is a wasteful number, since it uses less digits than its factorization.

58831332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 895 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 58831332 is about 7670.1585381268. The cubic root of 58831332 is about 388.9283135481.

The spelling of 58831332 in words is "fifty-eight million, eight hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 37 42 46 69 74 84 92 111 138 148 161 222 259 276 322 444 483 518 644 777 823 851 966 1036 1554 1646 1702 1932 2469 2553 3108 3292 3404 4938 5106 5761 5957 9876 10212 11522 11914 17283 17871 18929 23044 23828 30451 34566 35742 37858 56787 60902 69132 71484 75716 91353 113574 121804 132503 182706 213157 227148 265006 365412 397509 426314 530012 639471 700373 795018 852628 1278942 1400746 1590036 2101119 2557884 2801492 4202238 4902611 8404476 9805222 14707833 19610444 29415666 58831332