Search a number
-
+
40742637 = 3132353857
BaseRepresentation
bin1001101101101…
…0111011101101
32211122221101120
42123122323231
540412231022
64013131153
71003210125
oct233327355
984587346
1040742637
1120aa8601
1211789ab9
138596890
1455a7c85
15389bd5c
hex26daeed

40742637 has 32 divisors (see below), whose sum is σ = 62270208. Its totient is φ = 23502336.

The previous prime is 40742617. The next prime is 40742657. The reversal of 40742637 is 73624704.

It is an interprime number because it is at equal distance from previous prime (40742617) and next prime (40742657).

It is not a de Polignac number, because 40742637 - 26 = 40742573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40742598 and 40742607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40742617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47113 + ... + 47969.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 240742637 is an apocalyptic number.

It is an amenable number.

40742637 is a deficient number, since it is larger than the sum of its proper divisors (21527571).

40742637 is a wasteful number, since it uses less digits than its factorization.

40742637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949.

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 40742637 is about 6382.9959266789. The cubic root of 40742637 is about 344.0987102925.

The spelling of 40742637 in words is "forty million, seven hundred forty-two thousand, six hundred thirty-seven".

Divisors: 1 3 13 23 39 53 69 159 299 689 857 897 1219 2067 2571 3657 11141 15847 19711 33423 45421 47541 59133 136263 256243 590473 768729 1044683 1771419 3134049 13580879 40742637