Search a number
-
+
40784772 = 2237539161
BaseRepresentation
bin1001101110010…
…1001110000100
32211202002012010
42123211032010
540420103042
64014054220
71003444020
oct233451604
984662163
1040784772
1121027226
12117aa370
1385acb02
1455b9380
1538a959c
hex26e5384

40784772 has 48 divisors (see below), whose sum is σ = 110823552. Its totient is φ = 11431680.

The previous prime is 40784771. The next prime is 40784797. The reversal of 40784772 is 27748704.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40784772.

It is not an unprimeable number, because it can be changed into a prime (40784771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129 + ... + 9032.

It is an arithmetic number, because the mean of its divisors is an integer number (2308824).

Almost surely, 240784772 is an apocalyptic number.

40784772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40784772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55411776).

40784772 is an abundant number, since it is smaller than the sum of its proper divisors (70038780).

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

40784772 is a wasteful number, since it uses less digits than its factorization.

40784772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9228 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 40784772 is about 6386.2956398839. The cubic root of 40784772 is about 344.2172888060.

The spelling of 40784772 in words is "forty million, seven hundred eighty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 9161 18322 27483 36644 54966 64127 109932 128254 192381 256508 384762 485533 769524 971066 1456599 1942132 2913198 3398731 5826396 6797462 10196193 13594924 20392386 40784772