Search a number
-
+
58220280 = 23325433761
BaseRepresentation
bin1101111000010…
…1111011111000
311001112220012200
43132011323320
5104401022110
65435510200
71304602266
oct336057370
9131486180
1058220280
112a955838
12175b8360
13c0a5b91
147a37436
1551a06c0
hex3785ef8

58220280 has 96 divisors (see below), whose sum is σ = 193667760. Its totient is φ = 15160320.

The previous prime is 58220249. The next prime is 58220293. The reversal of 58220280 is 8202285.

58220280 is a `hidden beast` number, since 582 + 2 + 0 + 2 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13600 + ... + 17360.

Almost surely, 258220280 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 58220280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96833880).

58220280 is an abundant number, since it is smaller than the sum of its proper divisors (135447480).

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

58220280 is a wasteful number, since it uses less digits than its factorization.

58220280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 58220280 is about 7630.2214908874. The cubic root of 58220280 is about 387.5770890681.

The spelling of 58220280 in words is "fifty-eight million, two hundred twenty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3761 3870 5160 7522 7740 11283 15044 15480 18805 22566 30088 33849 37610 45132 56415 67698 75220 90264 112830 135396 150440 161723 169245 225660 270792 323446 338490 451320 485169 646892 676980 808615 970338 1293784 1353960 1455507 1617230 1940676 2425845 2911014 3234460 3881352 4851690 5822028 6468920 7277535 9703380 11644056 14555070 19406760 29110140 58220280