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45142104 = 23371671609
BaseRepresentation
bin1010110000110…
…1000001011000
310010221110022210
42230031001120
543024021404
64251315120
71055462430
oct254150130
9103843283
1045142104
1123532a27
121314baa0
139477207
145dd12c0
153e6a689
hex2b0d058

45142104 has 64 divisors (see below), whose sum is σ = 129830400. Its totient is φ = 12812544.

The previous prime is 45142093. The next prime is 45142117. The reversal of 45142104 is 40124154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 27252 + ... + 28860.

It is an arithmetic number, because the mean of its divisors is an integer number (2028600).

Almost surely, 245142104 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 45142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64915200).

45142104 is an abundant number, since it is smaller than the sum of its proper divisors (84688296).

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

45142104 is a wasteful number, since it uses less digits than its factorization.

45142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45142104 is about 6718.7873905936. The cubic root of 45142104 is about 356.0633435238.

Adding to 45142104 its reverse (40124154), we get a palindrome (85266258).

The spelling of 45142104 in words is "forty-five million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 334 501 668 1002 1169 1336 1609 2004 2338 3218 3507 4008 4676 4827 6436 7014 9352 9654 11263 12872 14028 19308 22526 28056 33789 38616 45052 67578 90104 135156 268703 270312 537406 806109 1074812 1612218 1880921 2149624 3224436 3761842 5642763 6448872 7523684 11285526 15047368 22571052 45142104