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40423152 = 24371110937
BaseRepresentation
bin1001101000110…
…0111011110000
32211001201010210
42122030323300
540322020102
64002224120
71000406520
oct232147360
984051123
1040423152
11208aa570
1211655040
1384b4333
145523680
15383736c
hex268cef0

40423152 has 80 divisors (see below), whose sum is σ = 130205952. Its totient is φ = 10498560.

The previous prime is 40423147. The next prime is 40423181. The reversal of 40423152 is 25132404.

40423152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1773 + ... + 9164.

Almost surely, 240423152 is an apocalyptic number.

40423152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40423152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65102976).

40423152 is an abundant number, since it is smaller than the sum of its proper divisors (89782800).

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

40423152 is a wasteful number, since it uses less digits than its factorization.

40423152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10966 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40423152 is about 6357.9204147268. The cubic root of 40423152 is about 343.1969278310.

Adding to 40423152 its reverse (25132404), we get a palindrome (65555556).

The spelling of 40423152 in words is "forty million, four hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 10937 21874 32811 43748 65622 76559 87496 120307 131244 153118 174992 229677 240614 262488 306236 360921 459354 481228 524976 612472 721842 842149 918708 962456 1224944 1443684 1684298 1837416 1924912 2526447 2887368 3368596 3674832 5052894 5774736 6737192 10105788 13474384 20211576 40423152