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45553300 = 22521367523
BaseRepresentation
bin1010110111000…
…1011010010100
310011201100101021
42231301122110
543130201200
64304210524
71062124312
oct255613224
9104640337
1045553300
1123793961
1213309a44
13958c420
14609b0b2
153eec41a
hex2b71694

45553300 has 72 divisors (see below), whose sum is σ = 108250016. Its totient is φ = 16536960.

The previous prime is 45553283. The next prime is 45553331. The reversal of 45553300 is 335554.

It is a happy number.

45553300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 86839 + ... + 87361.

Almost surely, 245553300 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 45553300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54125008).

45553300 is an abundant number, since it is smaller than the sum of its proper divisors (62696716).

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

45553300 is a wasteful number, since it uses less digits than its factorization.

45553300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 45553300 is about 6749.3184841138. The cubic root of 45553300 is about 357.1411954208.

Adding to 45553300 its reverse (335554), we get a palindrome (45888854).

The spelling of 45553300 in words is "forty-five million, five hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 100 130 134 260 268 325 335 523 650 670 871 1046 1300 1340 1675 1742 2092 2615 3350 3484 4355 5230 6700 6799 8710 10460 13075 13598 17420 21775 26150 27196 33995 35041 43550 52300 67990 70082 87100 135980 140164 169975 175205 339950 350410 455533 679900 700820 876025 911066 1752050 1822132 2277665 3504100 4555330 9110660 11388325 22776650 45553300