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45426084 = 223113771131
BaseRepresentation
bin1010110101001…
…0010110100100
310011110212212120
42231102112210
543112113314
64301345540
71061054364
oct255222644
9104425776
1045426084
1123707320
12132682b0
139546552
1460669a4
153ec48a9
hex2b525a4

45426084 has 96 divisors (see below), whose sum is σ = 121347072. Its totient is φ = 13104000.

The previous prime is 45426071. The next prime is 45426089. The reversal of 45426084 is 48062454.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (45426089) 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, 346699 + ... + 346829.

It is an arithmetic number, because the mean of its divisors is an integer number (1264032).

Almost surely, 245426084 is an apocalyptic number.

45426084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45426084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60673536).

45426084 is an abundant number, since it is smaller than the sum of its proper divisors (75920988).

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

45426084 is a wasteful number, since it uses less digits than its factorization.

45426084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 45426084 is about 6739.8875361537. The cubic root of 45426084 is about 356.8084245465.

The spelling of 45426084 in words is "forty-five million, four hundred twenty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 71 74 111 131 132 142 148 213 222 262 284 393 407 426 444 524 781 786 814 852 1221 1441 1562 1572 1628 2343 2442 2627 2882 3124 4323 4686 4847 4884 5254 5764 7881 8646 9301 9372 9694 10508 14541 15762 17292 18602 19388 27903 28897 29082 31524 37204 53317 55806 57794 58164 86691 102311 106634 111612 115588 159951 173382 204622 213268 306933 319902 344137 346764 409244 613866 639804 688274 1032411 1227732 1376548 2064822 3785507 4129644 7571014 11356521 15142028 22713042 45426084