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45510828 = 22311734723
BaseRepresentation
bin1010110110011…
…1000010101100
310011122012010020
42231213002230
543122321303
64303242140
71061556426
oct255470254
9104565106
1045510828
1123764a60
12132a9350
139575cac
146089816
153edea53
hex2b670ac

45510828 has 48 divisors (see below), whose sum is σ = 117457536. Its totient is φ = 13599360.

The previous prime is 45510797. The next prime is 45510847. The reversal of 45510828 is 82801554.

45510828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) 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 (33).

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, 7275 + ... + 11997.

It is an arithmetic number, because the mean of its divisors is an integer number (2447032).

Almost surely, 245510828 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 45510828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58728768).

45510828 is an abundant number, since it is smaller than the sum of its proper divisors (71946708).

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

45510828 is a wasteful number, since it uses less digits than its factorization.

45510828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 45510828 is about 6746.1713586300. The cubic root of 45510828 is about 357.0301663812.

The spelling of 45510828 in words is "forty-five million, five hundred ten thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4723 4818 9446 9636 14169 18892 28338 51953 56676 103906 155859 207812 311718 344779 623436 689558 1034337 1379116 2068674 3792569 4137348 7585138 11377707 15170276 22755414 45510828