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45265000 = 235411823
BaseRepresentation
bin1010110010101…
…1000001101000
310011011200220111
42230223001220
543041440000
64254104104
71056513634
oct254530150
9104150814
1045265000
11236072a0
12131ab034
1394bb131
146023dc4
153e91cba
hex2b2b068

45265000 has 80 divisors (see below), whose sum is σ = 115837920. Its totient is φ = 16440000.

The previous prime is 45264979. The next prime is 45265007. The reversal of 45265000 is 56254.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (45265007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54589 + ... + 55411.

It is an arithmetic number, because the mean of its divisors is an integer number (1447974).

Almost surely, 245265000 is an apocalyptic number.

45265000 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 45265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57918960).

45265000 is an abundant number, since it is smaller than the sum of its proper divisors (70572920).

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

45265000 is a wasteful number, since it uses less digits than its factorization.

45265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 45265000 is about 6727.9268723731. The cubic root of 45265000 is about 356.3861693469.

The spelling of 45265000 in words is "forty-five million, two hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 823 1000 1100 1250 1375 1646 2200 2500 2750 3292 4115 5000 5500 6584 6875 8230 9053 11000 13750 16460 18106 20575 27500 32920 36212 41150 45265 55000 72424 82300 90530 102875 164600 181060 205750 226325 362120 411500 452650 514375 823000 905300 1028750 1131625 1810600 2057500 2263250 4115000 4526500 5658125 9053000 11316250 22632500 45265000