Search a number
-
+
40623012 = 22332271657
BaseRepresentation
bin1001101011110…
…1101110100100
32211102212022000
42122331232210
540344414022
64010405300
71002201303
oct232755644
984385260
1040623012
1120a26741
1211730830
1385542b1
14557643a
1538766ac
hex26bdba4

40623012 has 48 divisors (see below), whose sum is σ = 105846720. Its totient is φ = 13473216.

The previous prime is 40622999. The next prime is 40623017. The reversal of 40623012 is 21032604.

It is a happy number.

40623012 is a `hidden beast` number, since 40 + 623 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40623017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23688 + ... + 25344.

It is an arithmetic number, because the mean of its divisors is an integer number (2205140).

Almost surely, 240623012 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 40623012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52923360).

40623012 is an abundant number, since it is smaller than the sum of its proper divisors (65223708).

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

40623012 is a wasteful number, since it uses less digits than its factorization.

40623012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40623012 is about 6373.6184385324. The cubic root of 40623012 is about 343.7616092167.

Adding to 40623012 its reverse (21032604), we get a palindrome (61655616).

The spelling of 40623012 in words is "forty million, six hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 227 454 681 908 1362 1657 2043 2724 3314 4086 4971 6129 6628 8172 9942 12258 14913 19884 24516 29826 44739 59652 89478 178956 376139 752278 1128417 1504556 2256834 3385251 4513668 6770502 10155753 13541004 20311506 40623012