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40225416 = 23371121767
BaseRepresentation
bin1001100101110…
…0101010001000
32210200122220020
42121130222020
540244203131
63554100440
7665624160
oct231345210
983618806
1040225416
1120784a50
121157a720
13844532a
1454b15a0
1537e8996
hex265ca88

40225416 has 64 divisors (see below), whose sum is σ = 125383680. Its totient is φ = 10447680.

The previous prime is 40225399. The next prime is 40225421. The reversal of 40225416 is 61452204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9036 + ... + 12731.

It is an arithmetic number, because the mean of its divisors is an integer number (1959120).

Almost surely, 240225416 is an apocalyptic number.

It is an amenable number.

40225416 is an abundant number, since it is smaller than the sum of its proper divisors (85158264).

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

40225416 is a wasteful number, since it uses less digits than its factorization.

40225416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21794 (or 21790 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40225416 is about 6342.3509836653. The cubic root of 40225416 is about 342.6364128858.

It can be divided in two parts, 40 and 225416, that added together give a triangular number (225456 = T671).

The spelling of 40225416 in words is "forty million, two hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 21767 43534 65301 87068 130602 152369 174136 239437 261204 304738 457107 478874 522408 609476 718311 914214 957748 1218952 1436622 1676059 1828428 1915496 2873244 3352118 3656856 5028177 5746488 6704236 10056354 13408472 20112708 40225416