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58308580 = 225111072477
BaseRepresentation
bin1101111001101…
…1011111100100
311001201101100001
43132123133210
5104411333310
65441431044
71305420601
oct336333744
9131641301
1058308580
112aa06110
121763b484
13c107125
147a5b6a8
1551bb93a
hex379b7e4

58308580 has 48 divisors (see below), whose sum is σ = 134882496. Its totient is φ = 20996480.

The previous prime is 58308577. The next prime is 58308583. The reversal of 58308580 is 8580385.

It is an interprime number because it is at equal distance from previous prime (58308577) and next prime (58308583).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (58308583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22302 + ... + 24778.

It is an arithmetic number, because the mean of its divisors is an integer number (2810052).

Almost surely, 258308580 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 58308580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67441248).

58308580 is an abundant number, since it is smaller than the sum of its proper divisors (76573916).

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

58308580 is a wasteful number, since it uses less digits than its factorization.

58308580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 58308580 is about 7636.0055002599. The cubic root of 58308580 is about 387.7729301623.

The spelling of 58308580 in words is "fifty-eight million, three hundred eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 2477 4708 4954 5885 9908 11770 12385 23540 24770 27247 49540 54494 108988 136235 265039 272470 530078 544940 1060156 1325195 2650390 2915429 5300780 5830858 11661716 14577145 29154290 58308580