Search a number
-
+
45363402 = 2347109367
BaseRepresentation
bin1010110100001…
…1000011001010
310011100200220000
42231003003022
543103112102
64300143430
71060403550
oct255030312
9104320800
1045363402
1123674217
1213237b76
139523b66
14604bbd0
153eb101c
hex2b430ca

45363402 has 80 divisors (see below), whose sum is σ = 117553920. Its totient is φ = 12807072.

The previous prime is 45363397. The next prime is 45363407. The reversal of 45363402 is 20436354.

It is an interprime number because it is at equal distance from previous prime (45363397) and next prime (45363407).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45363407) 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 39 ways as a sum of consecutive naturals, for example, 123423 + ... + 123789.

It is an arithmetic number, because the mean of its divisors is an integer number (1469424).

Almost surely, 245363402 is an apocalyptic number.

45363402 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45363402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58776960).

45363402 is an abundant number, since it is smaller than the sum of its proper divisors (72190518).

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

45363402 is a wasteful number, since it uses less digits than its factorization.

45363402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45363402 is about 6735.2358533313. The cubic root of 45363402 is about 356.6442328258.

Adding to 45363402 its reverse (20436354), we get a palindrome (65799756).

The spelling of 45363402 in words is "forty-five million, three hundred sixty-three thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 109 126 162 189 218 327 367 378 567 654 734 763 981 1101 1134 1526 1962 2202 2289 2569 2943 3303 4578 5138 5886 6606 6867 7707 8829 9909 13734 15414 17658 19818 20601 23121 29727 40003 41202 46242 59454 61803 69363 80006 120009 123606 138726 208089 240018 280021 360027 416178 560042 720054 840063 1080081 1680126 2160162 2520189 3240243 5040378 6480486 7560567 15121134 22681701 45363402