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58147980 = 223511194637
BaseRepresentation
bin1101110111010…
…0010010001100
311001102020000220
43131310102030
5104341213410
65434151340
71304151432
oct335642214
9131366026
1058147980
112a906490
1217582550
13c07bcb7
147a18d52
155189070
hex377448c

58147980 has 96 divisors (see below), whose sum is σ = 187004160. Its totient is φ = 13351680.

The previous prime is 58147951. The next prime is 58147993. The reversal of 58147980 is 8974185.

58147980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10222 + ... + 14858.

It is an arithmetic number, because the mean of its divisors is an integer number (1947960).

Almost surely, 258147980 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 58147980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93502080).

58147980 is an abundant number, since it is smaller than the sum of its proper divisors (128856180).

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

58147980 is a wasteful number, since it uses less digits than its factorization.

58147980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 58147980 is about 7625.4822798299. The cubic root of 58147980 is about 387.4165869713.

The spelling of 58147980 in words is "fifty-eight million, one hundred forty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 4637 6270 9274 12540 13911 18548 23185 27822 46370 51007 55644 69555 88103 92740 102014 139110 153021 176206 204028 255035 264309 278220 306042 352412 440515 510070 528618 612084 765105 881030 969133 1020140 1057236 1321545 1530210 1762060 1938266 2643090 2907399 3060420 3876532 4845665 5286180 5814798 9691330 11629596 14536995 19382660 29073990 58147980