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45239076 = 2232192592
BaseRepresentation
bin1010110010010…
…0101100100100
310011010101100100
42230210230210
543040122301
64253344100
71056345231
oct254445444
9104111310
1045239076
1123599873
1213198030
1394ac3ac
146018788
153e89286
hex2b24b24

45239076 has 81 divisors (see below), whose sum is σ = 122770011. Its totient is φ = 14043888.

The previous prime is 45239071. The next prime is 45239083. The reversal of 45239076 is 67093254.

The square root of 45239076 is 6726.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45239076.

It is not an unprimeable number, because it can be changed into a prime (45239071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 766735 + ... + 766793.

Almost surely, 245239076 is an apocalyptic number.

45239076 is the 6726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45239076

45239076 is an abundant number, since it is smaller than the sum of its proper divisors (77530935).

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

45239076 is a wasteful number, since it uses less digits than its factorization.

45239076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 45239076 is about 356.3181203069.

Multiplying 45239076 by its sum of digits (36), we get a square (1628606736 = 403562).

45239076 divided by its sum of digits (36) gives a square (1256641 = 11212).

It can be divided in two parts, 45 and 239076, that added together give a square (239121 = 4892).

The spelling of 45239076 in words is "forty-five million, two hundred thirty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 59 76 114 118 171 177 228 236 342 354 361 531 684 708 722 1062 1083 1121 1444 2124 2166 2242 3249 3363 3481 4332 4484 6498 6726 6962 10089 10443 12996 13452 13924 20178 20886 21299 31329 40356 41772 42598 62658 63897 66139 85196 125316 127794 132278 191691 198417 255588 264556 383382 396834 595251 766764 793668 1190502 1256641 2381004 2513282 3769923 5026564 7539846 11309769 15079692 22619538 45239076