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40362985 = 5136131013
BaseRepresentation
bin1001100111111…
…0001111101001
32210221122121101
42121332033221
540313103420
64001041401
71000036225
oct231761751
983848541
1040362985
1120869343
1211626261
138492b30
145509785
15382460a
hex267e3e9

40362985 has 16 divisors (see below), whose sum is σ = 52298064. Its totient is φ = 29728512.

The previous prime is 40362943. The next prime is 40362991. The reversal of 40362985 is 58926304.

It can be written as a sum of positive squares in 8 ways, for example, as 28611801 + 11751184 = 5349^2 + 3428^2 .

It is a cyclic number.

It is not a de Polignac number, because 40362985 - 27 = 40362857 is a prime.

It is a super-3 number, since 3×403629853 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39339 + ... + 40351.

It is an arithmetic number, because the mean of its divisors is an integer number (3268629).

Almost surely, 240362985 is an apocalyptic number.

It is an amenable number.

40362985 is a deficient number, since it is larger than the sum of its proper divisors (11935079).

40362985 is a wasteful number, since it uses less digits than its factorization.

40362985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 40362985 is about 6353.1869955165. The cubic root of 40362985 is about 343.0265685036.

It can be divided in two parts, 4036 and 2985, that added together give a triangular number (7021 = T118).

The spelling of 40362985 in words is "forty million, three hundred sixty-two thousand, nine hundred eighty-five".

Divisors: 1 5 13 65 613 1013 3065 5065 7969 13169 39845 65845 620969 3104845 8072597 40362985