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18945408 = 273103479
BaseRepresentation
bin100100001000…
…1010110000000
31022122112012210
41020101112000
514322223113
61514022120
7320014266
oct110212600
938575183
1018945408
11a76aa69
126417940
133c04401
142732436
1519e36c3
hex1211580

18945408 has 64 divisors (see below), whose sum is σ = 50918400. Its totient is φ = 6240768.

The previous prime is 18945391. The next prime is 18945449. The reversal of 18945408 is 80454981.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39313 + ... + 39791.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 218945408 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 18945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25459200).

18945408 is an abundant number, since it is smaller than the sum of its proper divisors (31972992).

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

18945408 is a wasteful number, since it uses less digits than its factorization.

18945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 18945408 is about 4352.6323070069. The cubic root of 18945408 is about 266.5843523717.

The spelling of 18945408 in words is "eighteen million, nine hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 479 618 824 958 1236 1437 1648 1916 2472 2874 3296 3832 4944 5748 6592 7664 9888 11496 13184 15328 19776 22992 30656 39552 45984 49337 61312 91968 98674 148011 183936 197348 296022 394696 592044 789392 1184088 1578784 2368176 3157568 4736352 6315136 9472704 18945408