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40023792 = 2432499557
BaseRepresentation
bin1001100010101…
…1011011110000
32210022102022200
42120223123300
540221230132
63545503200
7664124304
oct230533360
983272280
1040023792
1120657516
12114a1b00
1383a4623
14545bd04
1537a8d7c
hex262b6f0

40023792 has 60 divisors (see below), whose sum is σ = 112437000. Its totient is φ = 13290624.

The previous prime is 40023791. The next prime is 40023793. The reversal of 40023792 is 29732004.

40023792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40023791) and next prime (40023793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40023791) 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 11 ways as a sum of consecutive naturals, for example, 71578 + ... + 72134.

It is an arithmetic number, because the mean of its divisors is an integer number (1873950).

Almost surely, 240023792 is an apocalyptic number.

It is an amenable number.

40023792 is an abundant number, since it is smaller than the sum of its proper divisors (72413208).

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

40023792 is a wasteful number, since it uses less digits than its factorization.

40023792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 40023792 is about 6326.4359634790. The cubic root of 40023792 is about 342.0629821423.

Adding to 40023792 its reverse (29732004), we get a palindrome (69755796).

The spelling of 40023792 in words is "forty million, twenty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 499 557 998 1114 1497 1671 1996 2228 2994 3342 3992 4456 4491 5013 5988 6684 7984 8912 8982 10026 11976 13368 17964 20052 23952 26736 35928 40104 71856 80208 277943 555886 833829 1111772 1667658 2223544 2501487 3335316 4447088 5002974 6670632 10005948 13341264 20011896 40023792