Search a number
-
+
45286416 = 2432744927
BaseRepresentation
bin1010110011000…
…0010000010000
310011012210021200
42230300100100
543043131131
64254351200
71056633240
oct254602020
9104183250
1045286416
112362139a
12131bb500
1394c7ac6
14602bb20
153e982e6
hex2b30410

45286416 has 60 divisors (see below), whose sum is σ = 144847872. Its totient is φ = 12938688.

The previous prime is 45286411. The next prime is 45286441. The reversal of 45286416 is 61468254.

45286416 is a `hidden beast` number, since 4 + 5 + 2 + 8 + 641 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45286411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21456 + ... + 23471.

Almost surely, 245286416 is an apocalyptic number.

It is an amenable number.

45286416 is an abundant number, since it is smaller than the sum of its proper divisors (99561456).

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

45286416 is a wasteful number, since it uses less digits than its factorization.

45286416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44948 (or 44939 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 45286416 is about 6729.5182591327. The cubic root of 45286416 is about 356.4423655458.

It can be divided in two parts, 452 and 86416, that added together give a palindrome (86868).

The spelling of 45286416 in words is "forty-five million, two hundred eighty-six thousand, four hundred sixteen".

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 44927 89854 134781 179708 269562 314489 359416 404343 539124 628978 718832 808686 943467 1078248 1257956 1617372 1886934 2156496 2515912 2830401 3234744 3773868 5031824 5660802 6469488 7547736 11321604 15095472 22643208 45286416