Search a number
-
+
45791040 = 263547699
BaseRepresentation
bin1010111010101…
…1011101000000
310012011102111110
42232223131000
543210303130
64313243320
71064134401
oct256533500
9105142443
1045791040
1123936539
1213403540
1396436b9
14611d9a8
154047ab0
hex2bab740

45791040 has 56 divisors (see below), whose sum is σ = 145389600. Its totient is φ = 12210688.

The previous prime is 45791033. The next prime is 45791051. The reversal of 45791040 is 4019754.

It is a happy number.

45791040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45790989 and 45791007.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 22890 + ... + 24809.

Almost surely, 245791040 is an apocalyptic number.

45791040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45791040 is an abundant number, since it is smaller than the sum of its proper divisors (99598560).

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

45791040 is a wasteful number, since it uses less digits than its factorization.

45791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47719 (or 47709 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 45791040 is about 6766.9077132764. The cubic root of 45791040 is about 357.7614173499.

The spelling of 45791040 in words is "forty-five million, seven hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 47699 95398 143097 190796 238495 286194 381592 476990 572388 715485 763184 953980 1144776 1430970 1526368 1907960 2289552 2861940 3052736 3815920 4579104 5723880 7631840 9158208 11447760 15263680 22895520 45791040