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58788990 = 2355131861
BaseRepresentation
bin1110000001000…
…0110001111110
311002121210100000
43200100301332
5110022221430
65500015130
71312461321
oct340206176
9132553300
1058788990
1130204047
12178314a6
13c2449b0
147b447b8
155263e60
hex3810c7e

58788990 has 96 divisors (see below), whose sum is σ = 170797536. Its totient is φ = 14463360.

The previous prime is 58788979. The next prime is 58788997. The reversal of 58788990 is 9988785.

It is a super-2 number, since 2×587889902 = 6912290690440200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58788997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30660 + ... + 32520.

It is an arithmetic number, because the mean of its divisors is an integer number (1779141).

Almost surely, 258788990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58788990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85398768).

58788990 is an abundant number, since it is smaller than the sum of its proper divisors (112008546).

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

58788990 is a wasteful number, since it uses less digits than its factorization.

58788990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 58788990 is about 7667.3978636823. The cubic root of 58788990 is about 388.8349848492.

The spelling of 58788990 in words is "fifty-eight million, seven hundred eighty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 1053 1170 1215 1755 1861 2106 2430 3159 3510 3722 5265 5583 6318 9305 10530 11166 15795 16749 18610 24193 27915 31590 33498 48386 50247 55830 72579 83745 100494 120965 145158 150741 167490 217737 241930 251235 301482 362895 435474 452223 502470 653211 725790 753705 904446 1088685 1306422 1507410 1959633 2177370 2261115 3266055 3919266 4522230 5878899 6532110 9798165 11757798 19596330 29394495 58788990