Search a number
-
+
18028608 = 2631331233
BaseRepresentation
bin100010011000…
…1100001000000
31020220221121020
41010301201000
514103403413
61442225440
7306145353
oct104614100
936827536
1018028608
11a1a4184
126055280
133973020
14257429a
1518b1c23
hex1131840

18028608 has 112 divisors (see below), whose sum is σ = 53254656. Its totient is φ = 5345280.

The previous prime is 18028607. The next prime is 18028627. The reversal of 18028608 is 80682081.

It is not an unprimeable number, because it can be changed into a prime (18028603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77260 + ... + 77492.

It is an arithmetic number, because the mean of its divisors is an integer number (475488).

Almost surely, 218028608 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 18028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26627328).

18028608 is an abundant number, since it is smaller than the sum of its proper divisors (35226048).

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

18028608 is a wasteful number, since it uses less digits than its factorization.

18028608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 18028608 is about 4246.0108337120. The cubic root of 18028608 is about 262.2129069861.

The spelling of 18028608 in words is "eighteen million, twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 233 248 312 372 403 416 466 496 624 699 744 806 832 932 992 1209 1248 1398 1488 1612 1864 1984 2418 2496 2796 2976 3029 3224 3728 4836 5592 5952 6058 6448 7223 7456 9087 9672 11184 12116 12896 14446 14912 18174 19344 21669 22368 24232 25792 28892 36348 38688 43338 44736 48464 57784 72696 77376 86676 93899 96928 115568 145392 173352 187798 193856 231136 281697 290784 346704 375596 462272 563394 581568 693408 751192 1126788 1386816 1502384 2253576 3004768 4507152 6009536 9014304 18028608