[go: up one dir, main page]

Search a number
-
+
40545306 = 23317291523
BaseRepresentation
bin1001101010101…
…0110000011010
32211021220201000
42122222300122
540334422211
64005005430
71001425614
oct232526032
984256630
1040545306
112098331a
12116b3876
138527b09
145555db4
15385d656
hex26aac1a

40545306 has 64 divisors (see below), whose sum is σ = 98755200. Its totient is φ = 12273408.

The previous prime is 40545299. The next prime is 40545311. The reversal of 40545306 is 60354504.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40545306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25861 + ... + 27383.

It is an arithmetic number, because the mean of its divisors is an integer number (1543050).

Almost surely, 240545306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40545306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49377600).

40545306 is an abundant number, since it is smaller than the sum of its proper divisors (58209894).

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

40545306 is a wasteful number, since it uses less digits than its factorization.

40545306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 40545306 is about 6367.5196112772. The cubic root of 40545306 is about 343.5422804118.

The spelling of 40545306 in words is "forty million, five hundred forty-five thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 174 261 306 459 493 522 783 918 986 1479 1523 1566 2958 3046 4437 4569 8874 9138 13311 13707 25891 26622 27414 41121 44167 51782 77673 82242 88334 132501 155346 233019 265002 397503 466038 699057 750839 795006 1192509 1398114 1501678 2252517 2385018 4505034 6757551 13515102 20272653 40545306