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40733442 = 234318111
BaseRepresentation
bin1001101101100…
…0101100000010
32211122110210000
42123120230002
540411432232
64013020430
71003141251
oct233305402
984573700
1040733442
1120aa1702
1211784716
138592639
1455a4798
15389927c
hex26d8b02

40733442 has 40 divisors (see below), whose sum is σ = 94228992. Its totient is φ = 13138200.

The previous prime is 40733417. The next prime is 40733447. The reversal of 40733442 is 24433704.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40733447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 967 + ... + 9077.

Almost surely, 240733442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40733442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47114496).

40733442 is an abundant number, since it is smaller than the sum of its proper divisors (53495550).

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

40733442 is a wasteful number, since it uses less digits than its factorization.

40733442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8147 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 40733442 is about 6382.2756129769. The cubic root of 40733442 is about 344.0728223781.

The spelling of 40733442 in words is "forty million, seven hundred thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2511 5022 8111 16222 24333 48666 72999 145998 218997 251441 437994 502882 656991 754323 1313982 1508646 2262969 4525938 6788907 13577814 20366721 40733442