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40505742 = 2324359887
BaseRepresentation
bin1001101010000…
…1000110001110
32211012220102200
42122201012032
540332140432
64004102330
71001202354
oct232410616
984186380
1040505742
1120956622
12116949a6
138512ac4
1455457d4
153851a7c
hex26a118e

40505742 has 48 divisors (see below), whose sum is σ = 91428480. Its totient is φ = 12949776.

The previous prime is 40505741. The next prime is 40505789. The reversal of 40505742 is 24750504.

40505742 is a `hidden beast` number, since 40 + 50 + 574 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40505741) 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 23 ways as a sum of consecutive naturals, for example, 45223 + ... + 46109.

It is an arithmetic number, because the mean of its divisors is an integer number (1904760).

Almost surely, 240505742 is an apocalyptic number.

40505742 is an abundant number, since it is smaller than the sum of its proper divisors (50922738).

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

40505742 is a wasteful number, since it uses less digits than its factorization.

40505742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 40505742 is about 6364.4121488163. The cubic root of 40505742 is about 343.4305015032.

The spelling of 40505742 in words is "forty million, five hundred five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 43 59 86 118 129 177 258 354 387 531 774 887 1062 1774 2537 2661 5074 5322 7611 7983 15222 15966 22833 38141 45666 52333 76282 104666 114423 156999 228846 313998 343269 470997 686538 941994 2250319 4500638 6750957 13501914 20252871 40505742