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45102330 = 23257135507
BaseRepresentation
bin1010110000001…
…1010011111010
310010212102202200
42230003103322
543021233310
64250411030
71055235450
oct254032372
9103772680
1045102330
1123506059
1213130a76
139462090
145dc09d0
153e5d9c0
hex2b034fa

45102330 has 96 divisors (see below), whose sum is σ = 144353664. Its totient is φ = 9514368.

The previous prime is 45102307. The next prime is 45102349. The reversal of 45102330 is 3320154.

45102330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5437 + ... + 10943.

It is an arithmetic number, because the mean of its divisors is an integer number (1503684).

Almost surely, 245102330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45102330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72176832).

45102330 is an abundant number, since it is smaller than the sum of its proper divisors (99251334).

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

45102330 is a wasteful number, since it uses less digits than its factorization.

45102330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45102330 is about 6715.8268292147. The cubic root of 45102330 is about 355.9587388530.

Adding to 45102330 its reverse (3320154), we get a palindrome (48422484).

The spelling of 45102330 in words is "forty-five million, one hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 5507 8190 11014 16521 27535 33042 38549 49563 55070 71591 77098 82605 99126 115647 143182 165210 192745 214773 231294 247815 346941 357955 385490 429546 495630 501137 578235 644319 693882 715910 1002274 1073865 1156470 1288638 1503411 1734705 2147730 2505685 3006822 3221595 3469410 4510233 5011370 6443190 7517055 9020466 15034110 22551165 45102330