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45326320 = 24513411063
BaseRepresentation
bin1010110011100…
…1111111110000
310011021211000121
42230321333300
543100420240
64255300024
71060160464
oct254717760
9104254017
1045326320
1123649376
121321a614
139510010
14603c4a4
153ea504a
hex2b39ff0

45326320 has 80 divisors (see below), whose sum is σ = 116367552. Its totient is φ = 16312320.

The previous prime is 45326317. The next prime is 45326327. The reversal of 45326320 is 2362354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45326327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42109 + ... + 43171.

Almost surely, 245326320 is an apocalyptic number.

45326320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45326320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58183776).

45326320 is an abundant number, since it is smaller than the sum of its proper divisors (71041232).

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

45326320 is a wasteful number, since it uses less digits than its factorization.

45326320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 45326320 is about 6732.4824544888. The cubic root of 45326320 is about 356.5470275452.

Adding to 45326320 its reverse (2362354), we get a palindrome (47688674).

The spelling of 45326320 in words is "forty-five million, three hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1063 1066 1640 2126 2132 2665 3280 4252 4264 5315 5330 8504 8528 10630 10660 13819 17008 21260 21320 27638 42520 42640 43583 55276 69095 85040 87166 110552 138190 174332 217915 221104 276380 348664 435830 552760 566579 697328 871660 1105520 1133158 1743320 2266316 2832895 3486640 4532632 5665790 9065264 11331580 22663160 45326320