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45939465 = 3251131359
BaseRepresentation
bin1010111100111…
…1101100001001
310012102222002200
42233033230021
543230030330
64320350413
71065323205
oct257175411
9105388080
1045939465
1123a28000
1213475409
139696120
14615bb05
154076a60
hex2bcfb09

45939465 has 96 divisors (see below), whose sum is σ = 95921280. Its totient is φ = 20211840.

The previous prime is 45939463. The next prime is 45939497. The reversal of 45939465 is 56493954.

It is not a de Polignac number, because 45939465 - 21 = 45939463 is a prime.

It is a super-2 number, since 2×459394652 = 4220868888972450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45939465.

It is not an unprimeable number, because it can be changed into a prime (45939463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778606 + ... + 778664.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 245939465 is an apocalyptic number.

45939465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45939465 is an abundant number, since it is smaller than the sum of its proper divisors (49981815).

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

45939465 is a wasteful number, since it uses less digits than its factorization.

45939465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 45939465 is about 6777.8658145466. The cubic root of 45939465 is about 358.1475443352.

The spelling of 45939465 in words is "forty-five million, nine hundred thirty-nine thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 59 65 99 117 121 143 165 177 195 295 363 429 495 531 585 605 649 715 767 885 1089 1287 1331 1573 1815 1947 2145 2301 2655 3245 3835 3993 4719 5445 5841 6435 6655 6903 7139 7865 8437 9735 11505 11979 14157 17303 19965 21417 23595 25311 29205 34515 35695 42185 51909 59895 64251 70785 75933 78529 86515 92807 107085 126555 155727 235587 259545 278421 321255 379665 392645 464035 706761 778635 835263 1020877 1177935 1392105 3062631 3533805 4176315 5104385 9187893 15313155 45939465