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18403968 = 273114357
BaseRepresentation
bin100011000110…
…1001010000000
31021122000111110
41012031022000
514202411333
61454243320
7312300612
oct106151200
937560443
1018403968
11a4301a0
1261b6540
133a74b2b
142630db2
151938063
hex118d280

18403968 has 64 divisors (see below), whose sum is σ = 53341920. Its totient is φ = 5575680.

The previous prime is 18403963. The next prime is 18403969. The reversal of 18403968 is 86930481.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (18403963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2046 + ... + 6402.

Almost surely, 218403968 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 18403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26670960).

18403968 is an abundant number, since it is smaller than the sum of its proper divisors (34937952).

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

18403968 is a wasteful number, since it uses less digits than its factorization.

18403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 18403968 is about 4289.9846153570. The cubic root of 18403968 is about 264.0202004745.

The spelling of 18403968 in words is "eighteen million, four hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 4357 8714 13071 17428 26142 34856 47927 52284 69712 95854 104568 139424 143781 191708 209136 278848 287562 383416 418272 557696 575124 766832 836544 1150248 1533664 1673088 2300496 3067328 4600992 6134656 9201984 18403968