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40492368 = 24327172139
BaseRepresentation
bin1001101001110…
…1110101010000
32211012020002100
42122131311100
540331223433
64003520400
71001115360
oct232356520
984166070
1040492368
1120947574
1211689100
1385099a7
1455409a0
15384cb13
hex269dd50

40492368 has 180 divisors, whose sum is σ = 138567520. Its totient is φ = 10810368.

The previous prime is 40492343. The next prime is 40492373. The reversal of 40492368 is 86329404.

It is a happy number.

40492368 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 (36).

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 35 ways as a sum of consecutive naturals, for example, 291243 + ... + 291381.

Almost surely, 240492368 is an apocalyptic number.

40492368 is a gapful number since it is divisible by the number (48) 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 40492368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69283760).

40492368 is an abundant number, since it is smaller than the sum of its proper divisors (98075152).

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

40492368 is a wasteful number, since it uses less digits than its factorization.

40492368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 40492368 is about 6363.3613758767. The cubic root of 40492368 is about 343.3926999069.

The spelling of 40492368 in words is "forty million, four hundred ninety-two thousand, three hundred sixty-eight".