Search a number
-
+
89794224 = 24331359271
BaseRepresentation
bin1010101101000…
…10011010110000
320020222000112000
411112202122300
5140441403344
612524334000
72140144512
oct526423260
9206860460
1089794224
1146760803
12260a4300
13157ac3a0
14bcd5bb2
157d3aa69
hex55a26b0

89794224 has 160 divisors (see below), whose sum is σ = 283315200. Its totient is φ = 27060480.

The previous prime is 89794219. The next prime is 89794261. The reversal of 89794224 is 42249798.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 89794224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331209 + ... + 331479.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 289794224 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 89794224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141657600).

89794224 is an abundant number, since it is smaller than the sum of its proper divisors (193520976).

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

89794224 is a wasteful number, since it uses less digits than its factorization.

89794224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 89794224 is about 9475.9814267441. The cubic root of 89794224 is about 447.7986712297.

It can be divided in two parts, 8979 and 4224, that added together give a triangular number (13203 = T162).

The spelling of 89794224 in words is "eighty-nine million, seven hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 59 72 78 104 108 117 118 144 156 177 208 216 234 236 271 312 351 354 432 468 472 531 542 624 702 708 767 813 936 944 1062 1084 1404 1416 1534 1593 1626 1872 2124 2168 2301 2439 2808 2832 3068 3186 3252 3523 4248 4336 4602 4878 5616 6136 6372 6504 6903 7046 7317 8496 9204 9756 10569 12272 12744 13008 13806 14092 14634 15989 18408 19512 20709 21138 25488 27612 28184 29268 31707 31978 36816 39024 41418 42276 47967 55224 56368 58536 63414 63956 82836 84552 95121 95934 110448 117072 126828 127912 143901 165672 169104 190242 191868 207857 253656 255824 287802 331344 380484 383736 415714 431703 507312 575604 623571 760968 767472 831428 863406 1151208 1247142 1521936 1662856 1726812 1870713 2302416 2494284 3325712 3453624 3741426 4988568 5612139 6907248 7482852 9977136 11224278 14965704 22448556 29931408 44897112 89794224