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40592640 = 283511312
BaseRepresentation
bin1001101011011…
…0010100000000
32211101022122010
42122312110000
540342431030
64010012520
71002013614
oct232662400
984338563
1040592640
1120a05940
1211717140
13854351a
145569344
15386c6b0
hex26b6500

40592640 has 216 divisors, whose sum is σ = 146137824. Its totient is φ = 9523200.

The previous prime is 40592639. The next prime is 40592659. The reversal of 40592640 is 4629504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40592598 and 40592607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1309425 + ... + 1309455.

It is an arithmetic number, because the mean of its divisors is an integer number (676564).

Almost surely, 240592640 is an apocalyptic number.

40592640 is a gapful number since it is divisible by the number (40) 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 40592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73068912).

40592640 is an abundant number, since it is smaller than the sum of its proper divisors (105545184).

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

40592640 is a wasteful number, since it uses less digits than its factorization.

40592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 40592640 is about 6371.2353590179. The cubic root of 40592640 is about 343.6759161561.

The spelling of 40592640 in words is "forty million, five hundred ninety-two thousand, six hundred forty".