Search a number
-
+
58040022800 = 2452315979333
BaseRepresentation
bin110110000011011101…
…000111011100010000
312112210220112122111002
4312003131013130100
51422331221212200
642355131041132
74123200024314
oct660335073420
9175726478432
1058040022800
11226840971a1
12b2b95a01a8
13561c686b76
142b48455b44
15179a648bd5
hexd83747710

58040022800 has 120 divisors (see below), whose sum is σ = 146380750080. Its totient is φ = 22086028800.

The previous prime is 58040022787. The next prime is 58040022809. The reversal of 58040022800 is 822004085.

It is not an unprimeable number, because it can be changed into a prime (58040022809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691934 + ... + 771266.

It is an arithmetic number, because the mean of its divisors is an integer number (1219839584).

Almost surely, 258040022800 is an apocalyptic number.

58040022800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58040022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73190375040).

58040022800 is an abundant number, since it is smaller than the sum of its proper divisors (88340727280).

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

58040022800 is a wasteful number, since it uses less digits than its factorization.

58040022800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79441 (or 79430 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 58040022800 its reverse (822004085), we get a palindrome (58862026885).

The spelling of 58040022800 in words is "fifty-eight billion, forty million, twenty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 59 62 80 100 118 124 155 200 236 248 295 310 400 472 496 590 620 775 944 1180 1240 1475 1550 1829 2360 2480 2950 3100 3658 4720 5900 6200 7316 9145 11800 12400 14632 18290 23600 29264 36580 45725 73160 79333 91450 146320 158666 182900 317332 365800 396665 634664 731600 793330 1269328 1586660 1983325 2459323 3173320 3966650 4680647 4918646 6346640 7933300 9361294 9837292 12296615 15866600 18722588 19674584 23403235 24593230 31733200 37445176 39349168 46806470 49186460 61483075 74890352 93612940 98372920 117016175 122966150 145100057 187225880 196745840 234032350 245932300 290200114 374451760 468064700 491864600 580400228 725500285 936129400 983729200 1160800456 1451000570 1872258800 2321600912 2902001140 3627501425 5804002280 7255002850 11608004560 14510005700 29020011400 58040022800