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45814248 = 233523567
BaseRepresentation
bin1010111011000…
…1000111101000
310012012121100000
42232301013220
543212023443
64313543000
71064262144
oct256610750
9105177300
1045814248
1123951a17
1213414a60
13965112c
146128224
15404e8d3
hex2bb11e8

45814248 has 48 divisors (see below), whose sum is σ = 128681280. Its totient is φ = 15270768.

The previous prime is 45814243. The next prime is 45814253. The reversal of 45814248 is 84241854.

45814248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45814243) and next prime (45814253).

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 (45814243) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9840 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (2680860).

Almost surely, 245814248 is an apocalyptic number.

It is an amenable number.

45814248 is an abundant number, since it is smaller than the sum of its proper divisors (82867032).

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

45814248 is a wasteful number, since it uses less digits than its factorization.

45814248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23588 (or 23572 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 45814248 is about 6768.6223118150. The cubic root of 45814248 is about 357.8218478378.

It can be divided in two parts, 458 and 14248, that added together give a triangular number (14706 = T171).

The spelling of 45814248 in words is "forty-five million, eight hundred fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 23567 47134 70701 94268 141402 188536 212103 282804 424206 565608 636309 848412 1272618 1696824 1908927 2545236 3817854 5090472 5726781 7635708 11453562 15271416 22907124 45814248