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45150 = 2352743
BaseRepresentation
bin1011000001011110
32021221020
423001132
52421100
6545010
7245430
oct130136
967836
1045150
1130a16
1222166
1317721
1412650
15d5a0
hexb05e

45150 has 48 divisors (see below), whose sum is σ = 130944. Its totient is φ = 10080.

The previous prime is 45139. The next prime is 45161. The reversal of 45150 is 5154.

45150 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

45150 is a nontrivial binomial coefficient, being equal to C(301, 2).

It is an interprime number because it is at equal distance from previous prime (45139) and next prime (45161).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (2728).

245150 is an apocalyptic number.

45150 is the 300-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472).

45150 is an abundant number, since it is smaller than the sum of its proper divisors (85794).

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

45150 is a wasteful number, since it uses less digits than its factorization.

45150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 45150 is about 212.4852936088. The cubic root of 45150 is about 35.6084102505.

The spelling of 45150 in words is "forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 129 150 175 210 215 258 301 350 430 525 602 645 903 1050 1075 1290 1505 1806 2150 3010 3225 4515 6450 7525 9030 15050 22575 45150