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45003640 = 23511234447
BaseRepresentation
bin1010101110101…
…1001101111000
310010200102101111
42223223031320
543010104030
64244330104
71054344643
oct253531570
9103612344
1045003640
11234489a0
12130a3934
139429196
145d96a5a
153e3e62a
hex2aeb378

45003640 has 64 divisors (see below), whose sum is σ = 115292160. Its totient is φ = 15649920.

The previous prime is 45003631. The next prime is 45003683. The reversal of 45003640 is 4630054.

It is a super-2 number, since 2×450036402 = 4050655226499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7897 + ... + 12343.

It is an arithmetic number, because the mean of its divisors is an integer number (1801440).

Almost surely, 245003640 is an apocalyptic number.

45003640 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 45003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57646080).

45003640 is an abundant number, since it is smaller than the sum of its proper divisors (70288520).

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

45003640 is a wasteful number, since it uses less digits than its factorization.

45003640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 45003640 is about 6708.4752365944. The cubic root of 45003640 is about 355.6989206287.

Adding to 45003640 its reverse (4630054), we get a palindrome (49633694).

The spelling of 45003640 in words is "forty-five million, three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 4447 5060 8894 10120 17788 22235 35576 44470 48917 88940 97834 102281 177880 195668 204562 244585 391336 409124 489170 511405 818248 978340 1022810 1125091 1956680 2045620 2250182 4091240 4500364 5625455 9000728 11250910 22501820 45003640