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45364224 = 210314767
BaseRepresentation
bin1010110100001…
…1010000000000
310011100202000110
42231003100000
543103123344
64300151320
71060406133
oct255032000
9104322013
1045364224
11236748a4
1213238540
139524349
14604c21a
153eb13b9
hex2b43400

45364224 has 44 divisors (see below), whose sum is σ = 120920384. Its totient is φ = 15120384.

The previous prime is 45364223. The next prime is 45364247. The reversal of 45364224 is 42246354.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45364191 and 45364200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45364223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4312 + ... + 10455.

Almost surely, 245364224 is an apocalyptic number.

It is an amenable number.

45364224 is an abundant number, since it is smaller than the sum of its proper divisors (75556160).

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

45364224 is a wasteful number, since it uses less digits than its factorization.

45364224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14790 (or 14772 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 45364224 is about 6735.2968754169. The cubic root of 45364224 is about 356.6463869837.

The spelling of 45364224 in words is "forty-five million, three hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 14767 29534 44301 59068 88602 118136 177204 236272 354408 472544 708816 945088 1417632 1890176 2835264 3780352 5670528 7560704 11341056 15121408 22682112 45364224