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40816944 = 2432740493
BaseRepresentation
bin1001101110110…
…1000100110000
32211210201022200
42123231010300
540422120234
64014503200
71003636560
oct233550460
984721280
1040816944
1121049413
1211804b00
1385c164c
1455c6da0
1538b3d99
hex26ed130

40816944 has 60 divisors (see below), whose sum is σ = 130552656. Its totient is φ = 11661696.

The previous prime is 40816939. The next prime is 40816981. The reversal of 40816944 is 44961804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40816899 and 40816908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19239 + ... + 21254.

Almost surely, 240816944 is an apocalyptic number.

It is an amenable number.

40816944 is an abundant number, since it is smaller than the sum of its proper divisors (89735712).

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

40816944 is a wasteful number, since it uses less digits than its factorization.

40816944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40514 (or 40505 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40816944 is about 6388.8139744400. The cubic root of 40816944 is about 344.3077739511.

It can be divided in two parts, 4081 and 6944, that added together give a square (11025 = 1052).

The spelling of 40816944 in words is "forty million, eight hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 40493 80986 121479 161972 242958 283451 323944 364437 485916 566902 647888 728874 850353 971832 1133804 1457748 1700706 1943664 2267608 2551059 2915496 3401412 4535216 5102118 5830992 6802824 10204236 13605648 20408472 40816944