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45273516 = 22317317159
BaseRepresentation
bin1010110010110…
…1000110101100
310011012010120220
42230231012230
543042223031
64254211340
71056550521
oct254550654
9104163526
1045273516
1123612732
12131b3b50
1394c1c82
146027148
153e94596
hex2b2d1ac

45273516 has 48 divisors (see below), whose sum is σ = 115476480. Its totient is φ = 13743360.

The previous prime is 45273511. The next prime is 45273559. The reversal of 45273516 is 61537254.

45273516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45273511) by changing a digit.

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, 2745 + ... + 9903.

It is an arithmetic number, because the mean of its divisors is an integer number (2405760).

Almost surely, 245273516 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 45273516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57738240).

45273516 is an abundant number, since it is smaller than the sum of its proper divisors (70202964).

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

45273516 is a wasteful number, since it uses less digits than its factorization.

45273516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214 (or 7212 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 45273516 is about 6728.5597270144. The cubic root of 45273516 is about 356.4085176977.

The spelling of 45273516 in words is "forty-five million, two hundred seventy-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 6324 7159 14318 21477 28636 42954 85908 121703 221929 243406 365109 443858 486812 665787 730218 887716 1331574 1460436 2663148 3772793 7545586 11318379 15091172 22636758 45273516