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45022900 = 22521359587
BaseRepresentation
bin1010101110111…
…1111010110100
310010201101210211
42223233322310
543011213100
64244555204
71054455046
oct253577264
9103641724
1045022900
112346140a
12130b2b04
139434b90
145d9da96
153e451ba
hex2aefeb4

45022900 has 72 divisors (see below), whose sum is σ = 107180640. Its totient is φ = 16314240.

The previous prime is 45022889. The next prime is 45022909. The reversal of 45022900 is 922054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45022909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76407 + ... + 76993.

It is an arithmetic number, because the mean of its divisors is an integer number (1488620).

Almost surely, 245022900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45022900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53590320).

45022900 is an abundant number, since it is smaller than the sum of its proper divisors (62157740).

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

45022900 is a wasteful number, since it uses less digits than its factorization.

45022900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45022900 is about 6709.9105806262. The cubic root of 45022900 is about 355.7496556666.

Adding to 45022900 its reverse (922054), we get a palindrome (45944954).

The spelling of 45022900 in words is "forty-five million, twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 236 260 295 325 587 590 650 767 1174 1180 1300 1475 1534 2348 2935 2950 3068 3835 5870 5900 7631 7670 11740 14675 15262 15340 19175 29350 30524 34633 38155 38350 58700 69266 76310 76700 138532 152620 173165 190775 346330 381550 450229 692660 763100 865825 900458 1731650 1800916 2251145 3463300 4502290 9004580 11255725 22511450 45022900