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45242304 = 2631783167
BaseRepresentation
bin1010110010010…
…1011111000000
310011010112202220
42230211133000
543040223204
64253411040
71056360522
oct254453700
9104115686
1045242304
11235a1238
1213199a80
1394b09c3
146019a12
153e8a1d9
hex2b257c0

45242304 has 112 divisors (see below), whose sum is σ = 129040128. Its totient is φ = 13938688.

The previous prime is 45242293. The next prime is 45242317. The reversal of 45242304 is 40324254.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 270829 + ... + 270995.

It is an arithmetic number, because the mean of its divisors is an integer number (1152144).

Almost surely, 245242304 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 45242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64520064).

45242304 is an abundant number, since it is smaller than the sum of its proper divisors (83797824).

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

45242304 is a wasteful number, since it uses less digits than its factorization.

45242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 45242304 is about 6726.2399600371. The cubic root of 45242304 is about 356.3265950418.

Adding to 45242304 its reverse (40324254), we get a palindrome (85566558).

The spelling of 45242304 in words is "forty-five million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 136 166 167 192 204 249 272 332 334 408 498 501 544 664 668 816 996 1002 1088 1328 1336 1411 1632 1992 2004 2656 2672 2822 2839 3264 3984 4008 4233 5312 5344 5644 5678 7968 8016 8466 8517 10688 11288 11356 13861 15936 16032 16932 17034 22576 22712 27722 32064 33864 34068 41583 45152 45424 55444 67728 68136 83166 90304 90848 110888 135456 136272 166332 181696 221776 235637 270912 272544 332664 443552 471274 545088 665328 706911 887104 942548 1330656 1413822 1885096 2661312 2827644 3770192 5655288 7540384 11310576 15080768 22621152 45242304