Search a number
-
+
40772016 = 2432283139
BaseRepresentation
bin1001101110001…
…0000110110000
32211201102200200
42123202012300
540414201031
64013515200
71003361565
oct233420660
984642620
1040772016
112101868a
12117a2b00
1385a706c
1455b486c
1538a58e6
hex26e21b0

40772016 has 30 divisors (see below), whose sum is σ = 114105420. Its totient is φ = 13590624.

The previous prime is 40771993. The next prime is 40772027. The reversal of 40772016 is 61027704.

It is a super-3 number, since 3×407720163 (a number of 24 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 141426 + ... + 141713.

It is an arithmetic number, because the mean of its divisors is an integer number (3803514).

Almost surely, 240772016 is an apocalyptic number.

It is an amenable number.

40772016 is an abundant number, since it is smaller than the sum of its proper divisors (73333404).

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

40772016 is a wasteful number, since it uses less digits than its factorization.

40772016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283153 (or 283144 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40772016 is about 6385.2968607575. The cubic root of 40772016 is about 344.1813988291.

The spelling of 40772016 in words is "forty million, seven hundred seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283139 566278 849417 1132556 1698834 2265112 2548251 3397668 4530224 5096502 6795336 10193004 13590672 20386008 40772016