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40356768 = 253420383
BaseRepresentation
bin1001100111110…
…0101110100000
32210221100002010
42121330232200
540312404033
64000552520
71000012134
oct231745640
983840063
1040356768
1120864701
1211622740
13849005a
1455073c4
153822863
hex267cba0

40356768 has 24 divisors (see below), whose sum is σ = 105936768. Its totient is φ = 13452224.

The previous prime is 40356733. The next prime is 40356769. The reversal of 40356768 is 86765304.

40356768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (40356769) 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, 210096 + ... + 210287.

It is an arithmetic number, because the mean of its divisors is an integer number (4414032).

Almost surely, 240356768 is an apocalyptic number.

40356768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40356768 is an abundant number, since it is smaller than the sum of its proper divisors (65580000).

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

40356768 is a wasteful number, since it uses less digits than its factorization.

40356768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420396 (or 420388 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 40356768 is about 6352.6976946806. The cubic root of 40356768 is about 343.0089557851.

The spelling of 40356768 in words is "forty million, three hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 420383 840766 1261149 1681532 2522298 3363064 5044596 6726128 10089192 13452256 20178384 40356768