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18828744 = 2331173977
BaseRepresentation
bin100011111010…
…0110111001000
31022102121011220
41013310313020
514310004434
61511322040
7316020204
oct107646710
938377156
1018828744
11a6a0350
126380320
133b9328c
142701b04
1519bdd49
hex11f4dc8

18828744 has 64 divisors (see below), whose sum is σ = 52107840. Its totient is φ = 5621760.

The previous prime is 18828737. The next prime is 18828757. The reversal of 18828744 is 44782881.

It is a junction number, because it is equal to n+sod(n) for n = 18828696 and 18828705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18784 + ... + 19760.

It is an arithmetic number, because the mean of its divisors is an integer number (814185).

Almost surely, 218828744 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 18828744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26053920).

18828744 is an abundant number, since it is smaller than the sum of its proper divisors (33279096).

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

18828744 is a wasteful number, since it uses less digits than its factorization.

18828744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 18828744 is about 4339.2100663600. The cubic root of 18828744 is about 266.0360250453.

The spelling of 18828744 in words is "eighteen million, eight hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 977 1606 1752 1954 2409 2931 3212 3908 4818 5862 6424 7816 9636 10747 11724 19272 21494 23448 32241 42988 64482 71321 85976 128964 142642 213963 257928 285284 427926 570568 784531 855852 1569062 1711704 2353593 3138124 4707186 6276248 9414372 18828744