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58469620 = 22511237653
BaseRepresentation
bin1101111100001…
…0110011110100
311002000120020111
43133002303310
5104432011440
65445112404
71306661236
oct337026364
9132016214
1058469620
1130006100
12176b8704
13c162511
147aa0256
1551ee4ea
hex37c2cf4

58469620 has 72 divisors (see below), whose sum is σ = 138823272. Its totient is φ = 20655360.

The previous prime is 58469617. The next prime is 58469629. The reversal of 58469620 is 2696485.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 49252324 = 3036^2 + 7018^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58469629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89214 + ... + 89866.

It is an arithmetic number, because the mean of its divisors is an integer number (1928101).

Almost surely, 258469620 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 58469620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69411636).

58469620 is an abundant number, since it is smaller than the sum of its proper divisors (80353652).

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

58469620 is a wasteful number, since it uses less digits than its factorization.

58469620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 58469620 is about 7646.5430097528. The cubic root of 58469620 is about 388.1295932289.

The spelling of 58469620 in words is "fifty-eight million, four hundred sixty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 653 740 814 1210 1306 1628 2035 2420 2612 3265 4070 4477 6530 7183 8140 8954 13060 14366 17908 22385 24161 28732 35915 44770 48322 71830 79013 89540 96644 120805 143660 158026 241610 265771 316052 395065 483220 531542 790130 1063084 1328855 1580260 2657710 2923481 5315420 5846962 11693924 14617405 29234810 58469620