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40363488 = 25331131137
BaseRepresentation
bin1001100111111…
…0010111100000
32210221200022000
42121332113200
540313112423
64001044000
71000040544
oct231762740
983850260
1040363488
1120869760
1211626600
138493129
145509a24
153824843
hex267e5e0

40363488 has 192 divisors, whose sum is σ = 133539840. Its totient is φ = 11750400.

The previous prime is 40363483. The next prime is 40363489. The reversal of 40363488 is 88436304.

It is a super-2 number, since 2×403634882 = 3258422327052288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40363483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294556 + ... + 294692.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 240363488 is an apocalyptic number.

40363488 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 40363488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

40363488 is an abundant number, since it is smaller than the sum of its proper divisors (93176352).

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

40363488 is a wasteful number, since it uses less digits than its factorization.

40363488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 40363488 is about 6353.2265818244. The cubic root of 40363488 is about 343.0279934200.

The spelling of 40363488 in words is "forty million, three hundred sixty-three thousand, four hundred eighty-eight".