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45285210 = 2335179937
BaseRepresentation
bin1010110010111…
…1111101011010
310011012201122000
42230233331122
543043111320
64254341430
71056626565
oct254577532
9104181560
1045285210
11236204a3
12131ba876
1394c73a9
14602b4dc
153e97c90
hex2b2ff5a

45285210 has 64 divisors (see below), whose sum is σ = 121564800. Its totient is φ = 11995776.

The previous prime is 45285209. The next prime is 45285217. The reversal of 45285210 is 1258254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45285217) 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 31 ways as a sum of consecutive naturals, for example, 47862 + ... + 48798.

It is an arithmetic number, because the mean of its divisors is an integer number (1899450).

Almost surely, 245285210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45285210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60782400).

45285210 is an abundant number, since it is smaller than the sum of its proper divisors (76279590).

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

45285210 is a wasteful number, since it uses less digits than its factorization.

45285210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45285210 is about 6729.4286533108. The cubic root of 45285210 is about 356.4392014379.

The spelling of 45285210 in words is "forty-five million, two hundred eighty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 179 270 358 537 895 937 1074 1611 1790 1874 2685 2811 3222 4685 4833 5370 5622 8055 8433 9370 9666 14055 16110 16866 24165 25299 28110 42165 48330 50598 84330 126495 167723 252990 335446 503169 838615 1006338 1509507 1677230 2515845 3019014 4528521 5031690 7547535 9057042 15095070 22642605 45285210