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45064369 = 741372
BaseRepresentation
bin1010101111101…
…0000010110001
310010210111200201
42223322002301
543014024434
64245515201
71055020000
oct253720261
9103714621
1045064369
112348a589
1213112b01
13944aa0c
145db0c37
153e52614
hex2afa0b1

45064369 has 15 divisors (see below), whose sum is σ = 52958507. Its totient is φ = 38344656.

The previous prime is 45064367. The next prime is 45064373. The reversal of 45064369 is 96346054.

It is a happy number.

The square root of 45064369 is 6713.

It is a perfect power (a square), and thus also a powerful number.

45064369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 26471025 + 18593344 = 5145^2 + 4312^2 .

It is not a de Polignac number, because 45064369 - 21 = 45064367 is a prime.

It is a super-2 number, since 2×450643692 = 4061594706736322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45064361) 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 14 ways as a sum of consecutive naturals, for example, 328869 + ... + 329005.

Almost surely, 245064369 is an apocalyptic number.

45064369 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45064369 is the 6713-rd square number.

45064369 is the 3357-th centered octagonal number.

It is an amenable number.

45064369 is a deficient number, since it is larger than the sum of its proper divisors (7894138).

45064369 is an frugal number, since it uses more digits than its factorization.

45064369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The cubic root of 45064369 is about 355.8588449564.

The spelling of 45064369 in words is "forty-five million, sixty-four thousand, three hundred sixty-nine".

Divisors: 1 7 49 137 343 959 2401 6713 18769 46991 131383 328937 919681 6437767 45064369