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18619328 = 2671323139
BaseRepresentation
bin100011100000…
…1101111000000
31022000221220202
41013001233000
514231304303
61503024332
7314155520
oct107015700
938027822
1018619328
11a567a82
12629b0a8
133b1bb70
142689680
15197bc88
hex11c1bc0

18619328 has 112 divisors (see below), whose sum is σ = 47792640. Its totient is φ = 6994944.

The previous prime is 18619309. The next prime is 18619339. The reversal of 18619328 is 82391681.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 18619291 and 18619300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133883 + ... + 134021.

It is an arithmetic number, because the mean of its divisors is an integer number (426720).

Almost surely, 218619328 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 18619328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23896320).

18619328 is an abundant number, since it is smaller than the sum of its proper divisors (29173312).

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

18619328 is a wasteful number, since it uses less digits than its factorization.

18619328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 18619328 is about 4315.0119350936. The cubic root of 18619328 is about 265.0460487201.

The spelling of 18619328 in words is "eighteen million, six hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 139 161 182 184 208 224 278 299 322 364 368 416 448 556 598 644 728 736 832 973 1112 1196 1288 1456 1472 1807 1946 2093 2224 2392 2576 2912 3197 3614 3892 4186 4448 4784 5152 5824 6394 7228 7784 8372 8896 9568 10304 12649 12788 14456 15568 16744 19136 22379 25298 25576 28912 31136 33488 41561 44758 50596 51152 57824 62272 66976 83122 89516 101192 102304 115648 133952 166244 179032 202384 204608 290927 332488 358064 404768 581854 664976 716128 809536 1163708 1329952 1432256 2327416 2659904 4654832 9309664 18619328