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40367872 = 281371151
BaseRepresentation
bin1001100111111…
…1011100000000
32210221220022101
42121333130000
540313232442
64001120144
71000056406
oct231773400
983856271
1040367872
1120871a86
1211629054
13849511c
14550b476
153825cb7
hex267f700

40367872 has 36 divisors (see below), whose sum is σ = 81236736. Its totient is φ = 20019200.

The previous prime is 40367869. The next prime is 40367879. The reversal of 40367872 is 27876304.

40367872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40367879) 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 3 ways as a sum of consecutive naturals, for example, 34497 + ... + 35647.

It is an arithmetic number, because the mean of its divisors is an integer number (2256576).

Almost surely, 240367872 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 40367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40618368).

40367872 is an abundant number, since it is smaller than the sum of its proper divisors (40868864).

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

40367872 is a wasteful number, since it uses less digits than its factorization.

40367872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 40367872 is about 6353.5715939934. The cubic root of 40367872 is about 343.0404120716.

The spelling of 40367872 in words is "forty million, three hundred sixty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 1096 1151 2192 2302 4384 4604 8768 9208 17536 18416 35072 36832 73664 147328 157687 294656 315374 630748 1261496 2522992 5045984 10091968 20183936 40367872