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45288060 = 22357110631
BaseRepresentation
bin1010110011000…
…0101001111100
310011012212112120
42230300221330
543043204220
64254402540
71056641106
oct254605174
9104185476
1045288060
1123622654
1213200450
1394c878c
14602c576
153e98a40
hex2b30a7c

45288060 has 48 divisors (see below), whose sum is σ = 128604672. Its totient is φ = 11905600.

The previous prime is 45288043. The next prime is 45288101. The reversal of 45288060 is 6088254.

45288060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1056 + ... + 9575.

It is an arithmetic number, because the mean of its divisors is an integer number (2679264).

Almost surely, 245288060 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 45288060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64302336).

45288060 is an abundant number, since it is smaller than the sum of its proper divisors (83316612).

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

45288060 is a wasteful number, since it uses less digits than its factorization.

45288060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 45288060 is about 6729.6404064407. The cubic root of 45288060 is about 356.4466787167.

The spelling of 45288060 in words is "forty-five million, two hundred eighty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 10631 21262 31893 42524 53155 63786 106310 127572 159465 212620 318930 637860 754801 1509602 2264403 3019204 3774005 4528806 7548010 9057612 11322015 15096020 22644030 45288060