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45525440 = 2651131259
BaseRepresentation
bin1010110110101…
…0100111000000
310011122221011102
42231222213000
543123303230
64303433532
71061650142
oct255524700
9104587142
1045525440
1123774a34
12132b58a8
13957c83c
146090c92
153ee4045
hex2b6a9c0

45525440 has 56 divisors (see below), whose sum is σ = 109453680. Its totient is φ = 18034688.

The previous prime is 45525421. The next prime is 45525449. The reversal of 45525440 is 4452554.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45525449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35531 + ... + 36789.

It is an arithmetic number, because the mean of its divisors is an integer number (1954530).

Almost surely, 245525440 is an apocalyptic number.

45525440 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 45525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54726840).

45525440 is an abundant number, since it is smaller than the sum of its proper divisors (63928240).

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

45525440 is a wasteful number, since it uses less digits than its factorization.

45525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The square root of 45525440 is about 6747.2542563624. The cubic root of 45525440 is about 357.0683724287.

Adding to 45525440 its reverse (4452554), we get a palindrome (49977994).

The spelling of 45525440 in words is "forty-five million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1130 1259 1808 2260 2518 3616 4520 5036 6295 7232 9040 10072 12590 18080 20144 25180 36160 40288 50360 80576 100720 142267 201440 284534 402880 569068 711335 1138136 1422670 2276272 2845340 4552544 5690680 9105088 11381360 22762720 45525440