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45282090 = 2357383563
BaseRepresentation
bin1010110010111…
…1001100101010
310011012120100110
42230233030222
543043011330
64254315150
71056614520
oct254571452
9104176313
1045282090
1123619117
12131b8ab6
1394c5b49
14602a310
153e96db0
hex2b2f32a

45282090 has 64 divisors (see below), whose sum is σ = 124747776. Its totient is φ = 10304832.

The previous prime is 45282059. The next prime is 45282091. The reversal of 45282090 is 9028254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45282091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80149 + ... + 80711.

It is an arithmetic number, because the mean of its divisors is an integer number (1949184).

Almost surely, 245282090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45282090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62373888).

45282090 is an abundant number, since it is smaller than the sum of its proper divisors (79465686).

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

45282090 is a wasteful number, since it uses less digits than its factorization.

45282090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 45282090 is about 6729.1968317177. The cubic root of 45282090 is about 356.4310154257.

The spelling of 45282090 in words is "forty-five million, two hundred eighty-two thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 383 563 766 1126 1149 1689 1915 2298 2681 2815 3378 3830 3941 5362 5630 5745 7882 8043 8445 11490 11823 13405 16086 16890 19705 23646 26810 39410 40215 59115 80430 118230 215629 431258 646887 1078145 1293774 1509403 2156290 3018806 3234435 4528209 6468870 7547015 9056418 15094030 22641045 45282090