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40049856 = 2633721143
BaseRepresentation
bin1001100011000…
…1110011000000
32210100202002000
42120301303000
540223043411
63550224000
7664263300
oct230616300
983322060
1040049856
1120675060
12114b5000
1383b3452
145467600
1537b1956
hex2631cc0

40049856 has 336 divisors, whose sum is σ = 152887680. Its totient is φ = 10160640.

The previous prime is 40049843. The next prime is 40049857. The reversal of 40049856 is 65894004.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40049856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40049857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931371 + ... + 931413.

Almost surely, 240049856 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 40049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76443840).

40049856 is an abundant number, since it is smaller than the sum of its proper divisors (112837824).

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

40049856 is a wasteful number, since it uses less digits than its factorization.

40049856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40049856 is about 6328.4955558174. The cubic root of 40049856 is about 342.1372179448.

The spelling of 40049856 in words is "forty million, forty-nine thousand, eight hundred fifty-six".