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40872040 = 23511194889
BaseRepresentation
bin1001101111101…
…0100001101000
32211220111220021
42123322201220
540430401130
64020010224
71004256316
oct233724150
984814807
1040872040
1121086850
1211830974
138610751
1455dd0b6
1538c537a
hex26fa868

40872040 has 64 divisors (see below), whose sum is σ = 105624000. Its totient is φ = 14077440.

The previous prime is 40872037. The next prime is 40872053. The reversal of 40872040 is 4027804.

40872040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40871996 and 40872014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5916 + ... + 10804.

It is an arithmetic number, because the mean of its divisors is an integer number (1650375).

Almost surely, 240872040 is an apocalyptic number.

40872040 is a gapful number since it is divisible by the number (40) 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 40872040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52812000).

40872040 is an abundant number, since it is smaller than the sum of its proper divisors (64751960).

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

40872040 is a wasteful number, since it uses less digits than its factorization.

40872040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 40872040 is about 6393.1244317626. The cubic root of 40872040 is about 344.4626234673.

Adding to 40872040 its reverse (4027804), we get a palindrome (44899844).

The spelling of 40872040 in words is "forty million, eight hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 4889 8360 9778 19556 24445 39112 48890 53779 92891 97780 107558 185782 195560 215116 268895 371564 430232 464455 537790 743128 928910 1021801 1075580 1857820 2043602 2151160 3715640 4087204 5109005 8174408 10218010 20436020 40872040