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45300294 = 232131923443
BaseRepresentation
bin1010110011001…
…1101001000110
310011020111022200
42230303221012
543044102134
64254535330
71060021554
oct254635106
9104214280
1045300294
1123630866
1213207546
139501210
146032bd4
153e9c499
hex2b33a46

45300294 has 96 divisors (see below), whose sum is σ = 116363520. Its totient is φ = 12602304.

The previous prime is 45300263. The next prime is 45300301. The reversal of 45300294 is 49200354.

45300294 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 102037 + ... + 102479.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 245300294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45300294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58181760).

45300294 is an abundant number, since it is smaller than the sum of its proper divisors (71063226).

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

45300294 is a wasteful number, since it uses less digits than its factorization.

45300294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45300294 is about 6730.5493089346. The cubic root of 45300294 is about 356.4787723565.

The spelling of 45300294 in words is "forty-five million, three hundred thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 19 23 26 38 39 46 57 69 78 114 117 138 171 207 234 247 299 342 414 437 443 494 598 741 874 886 897 1311 1329 1482 1794 2223 2622 2658 2691 3933 3987 4446 5382 5681 5759 7866 7974 8417 10189 11362 11518 16834 17043 17277 20378 25251 30567 34086 34554 50502 51129 51831 61134 75753 91701 102258 103662 109421 132457 151506 183402 193591 218842 264914 328263 387182 397371 580773 656526 794742 984789 1161546 1192113 1742319 1969578 2384226 2516683 3484638 5033366 7550049 15100098 22650147 45300294