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58934790 = 235579307
BaseRepresentation
bin1110000011010…
…0011000000110
311002220012100000
43200310120012
5110041403130
65503102130
71313636355
oct340643006
9132805300
1058934790
11302a3642
12178a1946
13c296175
147b8199c
155292260
hex3834606

58934790 has 96 divisors (see below), whose sum is σ = 161441280. Its totient is φ = 15466464.

The previous prime is 58934783. The next prime is 58934791. The reversal of 58934790 is 9743985.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58934791) 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, 191817 + ... + 192123.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 258934790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58934790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80720640).

58934790 is an abundant number, since it is smaller than the sum of its proper divisors (102506490).

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

58934790 is a wasteful number, since it uses less digits than its factorization.

58934790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 58934790 is about 7676.8997648790. The cubic root of 58934790 is about 389.1561636883.

The spelling of 58934790 in words is "fifty-eight million, nine hundred thirty-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 243 270 307 395 405 474 486 614 711 790 810 921 1185 1215 1422 1535 1842 2133 2370 2430 2763 3070 3555 4266 4605 5526 6399 7110 8289 9210 10665 12798 13815 16578 19197 21330 24253 24867 27630 31995 38394 41445 48506 49734 63990 72759 74601 82890 95985 121265 124335 145518 149202 191970 218277 242530 248670 363795 373005 436554 654831 727590 746010 1091385 1309662 1964493 2182770 3274155 3928986 5893479 6548310 9822465 11786958 19644930 29467395 58934790