Search a number
-
+
18091944 = 23331317379
BaseRepresentation
bin100010100000…
…0111110101000
31021001011111000
41011000332220
514112420234
61443435000
7306531123
oct105007650
937034430
1018091944
11a237822
126085a60
133995ac0
14258d3ba
1518c5899
hex1140fa8

18091944 has 128 divisors (see below), whose sum is σ = 57456000. Its totient is φ = 5225472.

The previous prime is 18091939. The next prime is 18091963. The reversal of 18091944 is 44919081.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18091899 and 18091908.

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, 47547 + ... + 47925.

It is an arithmetic number, because the mean of its divisors is an integer number (448875).

Almost surely, 218091944 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 18091944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728000).

18091944 is an abundant number, since it is smaller than the sum of its proper divisors (39364056).

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

18091944 is a wasteful number, since it uses less digits than its factorization.

18091944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18091944 is about 4253.4625894676. The cubic root of 18091944 is about 262.5196066988.

The spelling of 18091944 in words is "eighteen million, ninety-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 379 408 442 459 468 612 663 702 758 884 918 936 1137 1224 1326 1404 1516 1768 1836 1989 2274 2652 2808 3032 3411 3672 3978 4548 4927 5304 5967 6443 6822 7956 9096 9854 10233 11934 12886 13644 14781 15912 19329 19708 20466 23868 25772 27288 29562 38658 39416 40932 44343 47736 51544 57987 59124 77316 81864 83759 88686 115974 118248 133029 154632 167518 173961 177372 231948 251277 266058 335036 347922 354744 463896 502554 532116 670072 695844 753831 1005108 1064232 1391688 1507662 2010216 2261493 3015324 4522986 6030648 9045972 18091944