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45225240 = 23351033659
BaseRepresentation
bin1010110010000…
…1010100011000
310011002200100220
42230201110120
543034201430
64253200040
71056260004
oct254412430
9104080326
1045225240
112358a435
1213190020
1394a5cc8
146013704
153e85110
hex2b21518

45225240 has 64 divisors (see below), whose sum is σ = 137030400. Its totient is φ = 11939712.

The previous prime is 45225221. The next prime is 45225241. The reversal of 45225240 is 4252254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45225240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45225241) 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, 10531 + ... + 14189.

It is an arithmetic number, because the mean of its divisors is an integer number (2141100).

Almost surely, 245225240 is an apocalyptic number.

45225240 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 45225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68515200).

45225240 is an abundant number, since it is smaller than the sum of its proper divisors (91805160).

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

45225240 is a wasteful number, since it uses less digits than its factorization.

45225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45225240 is about 6724.9713754038. The cubic root of 45225240 is about 356.2817909457.

Adding to 45225240 its reverse (4252254), we get a palindrome (49477494).

The spelling of 45225240 in words is "forty-five million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 3659 4120 6180 7318 10977 12360 14636 18295 21954 29272 36590 43908 54885 73180 87816 109770 146360 219540 376877 439080 753754 1130631 1507508 1884385 2261262 3015016 3768770 4522524 5653155 7537540 9045048 11306310 15075080 22612620 45225240