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45467648 = 2111492
BaseRepresentation
bin1010110101110…
…0100000000000
310011112222212222
42231130200000
543114431043
64302310212
71061316512
oct255344000
9104488788
1045467648
1123735576
1213288368
13955c445
146077bb2
153ed1d68
hex2b5c800

45467648 has 36 divisors (see below), whose sum is σ = 91527345. Its totient is φ = 22581248.

The previous prime is 45467623. The next prime is 45467677. The reversal of 45467648 is 84676454.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 37356544 + 8111104 = 6112^2 + 2848^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4768.

It is a Duffinian number.

Its product of digits (645120) is a multiple of the sum of its prime factors (320).

It is a junction number, because it is equal to n+sod(n) for n = 45467599 and 45467608.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 305078 + ... + 305226.

Almost surely, 245467648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45467648

45467648 is an abundant number, since it is smaller than the sum of its proper divisors (46059697).

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

45467648 is an frugal number, since it uses more digits than its factorization.

45467648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 151 counting only the distinct ones).

The product of its digits is 645120, while the sum is 44.

The square root of 45467648 is about 6742.9702653949. The cubic root of 45467648 is about 356.9172156725.

The spelling of 45467648 in words is "forty-five million, four hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1024 1192 2048 2384 4768 9536 19072 22201 38144 44402 76288 88804 152576 177608 305152 355216 710432 1420864 2841728 5683456 11366912 22733824 45467648