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45643320 = 23325196673
BaseRepresentation
bin1010111000011…
…1011000111000
310011212220212100
42232013120320
543141041240
64310143400
71062650622
oct256073070
9104786770
1045643320
1123845558
1213351b60
1395c13a8
1460c1c12
154018e30
hex2b87638

45643320 has 96 divisors (see below), whose sum is σ = 156171600. Its totient is φ = 11529216.

The previous prime is 45643307. The next prime is 45643327. The reversal of 45643320 is 2334654.

45643320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45643327) 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 23 ways as a sum of consecutive naturals, for example, 3504 + ... + 10176.

Almost surely, 245643320 is an apocalyptic number.

45643320 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 45643320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78085800).

45643320 is an abundant number, since it is smaller than the sum of its proper divisors (110528280).

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

45643320 is a wasteful number, since it uses less digits than its factorization.

45643320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45643320 is about 6755.9840141907. The cubic root of 45643320 is about 357.3762950808.

Adding to 45643320 its reverse (2334654), we get a palindrome (47977974).

The spelling of 45643320 in words is "forty-five million, six hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6673 6840 13346 20019 26692 33365 40038 53384 60057 66730 80076 100095 120114 126787 133460 160152 200190 240228 253574 266920 300285 380361 400380 480456 507148 600570 633935 760722 800760 1014296 1141083 1201140 1267870 1521444 1901805 2282166 2402280 2535740 3042888 3803610 4564332 5071480 5705415 7607220 9128664 11410830 15214440 22821660 45643320