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40526460 = 223351323251
BaseRepresentation
bin1001101010011…
…0001001111100
32211020221212000
42122212021330
540333321320
64004342300
71001316642
oct232461174
984227760
1040526460
1120970147
12116a4990
13851c370
14554d192
153857c90
hex26a627c

40526460 has 192 divisors, whose sum is σ = 142248960. Its totient is φ = 9504000.

The previous prime is 40526413. The next prime is 40526467. The reversal of 40526460 is 6462504.

It is a happy number.

40526460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40526467) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 161335 + ... + 161585.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 240526460 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 40526460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

40526460 is an abundant number, since it is smaller than the sum of its proper divisors (101722500).

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

40526460 is a wasteful number, since it uses less digits than its factorization.

40526460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40526460 is about 6366.0395851738. The cubic root of 40526460 is about 343.4890444819.

Adding to 40526460 its reverse (6462504), we get a palindrome (46988964).

The spelling of 40526460 in words is "forty million, five hundred twenty-six thousand, four hundred sixty".