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40788045 = 3252413761
BaseRepresentation
bin1001101110011…
…0000001001101
32211202020200100
42123212001031
540420204140
64014121313
71003456404
oct233460115
984666610
1040788045
1121029731
12117b0239
1385b144c
1455ba63b
1538aa530
hex26e604d

40788045 has 24 divisors (see below), whose sum is σ = 71011512. Its totient is φ = 21657600.

The previous prime is 40788043. The next prime is 40788047. The reversal of 40788045 is 54088704.

It is an interprime number because it is at equal distance from previous prime (40788043) and next prime (40788047).

It can be written as a sum of positive squares in 4 ways, for example, as 6985449 + 33802596 = 2643^2 + 5814^2 .

It is not a de Polignac number, because 40788045 - 21 = 40788043 is a prime.

It is a super-2 number, since 2×407880452 = 3327329229844050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40788043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8965 + ... + 12725.

It is an arithmetic number, because the mean of its divisors is an integer number (2958813).

Almost surely, 240788045 is an apocalyptic number.

40788045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40788045 is a deficient number, since it is larger than the sum of its proper divisors (30223467).

40788045 is a wasteful number, since it uses less digits than its factorization.

40788045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 40788045 is about 6386.5518865817. The cubic root of 40788045 is about 344.2264964342.

The spelling of 40788045 in words is "forty million, seven hundred eighty-eight thousand, forty-five".

Divisors: 1 3 5 9 15 45 241 723 1205 2169 3615 3761 10845 11283 18805 33849 56415 169245 906401 2719203 4532005 8157609 13596015 40788045