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45323000 = 235361743
BaseRepresentation
bin1010110011100…
…1001011111000
310011021122110122
42230321023320
543100314000
64255232412
71060145012
oct254711370
9104248418
1045323000
1123646928
1213218708
13950b658
14603b1b2
153ea4085
hex2b392f8

45323000 has 64 divisors (see below), whose sum is σ = 107939520. Its totient is φ = 17808000.

The previous prime is 45322973. The next prime is 45323009. The reversal of 45323000 is 32354.

It is a self number, because there is not a number n which added to its sum of digits gives 45323000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45323009) 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, 60629 + ... + 61371.

It is an arithmetic number, because the mean of its divisors is an integer number (1686555).

Almost surely, 245323000 is an apocalyptic number.

45323000 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 45323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53969760).

45323000 is an abundant number, since it is smaller than the sum of its proper divisors (62616520).

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

45323000 is a wasteful number, since it uses less digits than its factorization.

45323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 45323000 is about 6732.2358841621. The cubic root of 45323000 is about 356.5383220438.

Adding to 45323000 its reverse (32354), we get a palindrome (45355354).

The spelling of 45323000 in words is "forty-five million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 743 1000 1220 1486 1525 2440 2972 3050 3715 5944 6100 7430 7625 12200 14860 15250 18575 29720 30500 37150 45323 61000 74300 90646 92875 148600 181292 185750 226615 362584 371500 453230 743000 906460 1133075 1812920 2266150 4532300 5665375 9064600 11330750 22661500 45323000