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45140238 = 232111321971
BaseRepresentation
bin1010110000110…
…0100100001110
310010221100202200
42230030210032
543023441423
64251302330
71055454123
oct254144416
9103840680
1045140238
1123531590
121314a9a6
139476400
145dd074a
153e69d43
hex2b0c90e

45140238 has 144 divisors (see below), whose sum is σ = 123327360. Its totient is φ = 11793600.

The previous prime is 45140231. The next prime is 45140261. The reversal of 45140238 is 83204154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45140231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 635743 + ... + 635813.

It is an arithmetic number, because the mean of its divisors is an integer number (856440).

Almost surely, 245140238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45140238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61663680).

45140238 is an abundant number, since it is smaller than the sum of its proper divisors (78187122).

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

45140238 is a wasteful number, since it uses less digits than its factorization.

45140238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45140238 is about 6718.6485248151. The cubic root of 45140238 is about 356.0584373623.

The spelling of 45140238 in words is "forty-five million, one hundred forty thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 71 78 99 114 117 142 143 169 171 198 209 213 234 247 286 338 342 418 426 429 494 507 627 639 741 781 858 923 1014 1254 1278 1287 1349 1482 1521 1562 1846 1859 1881 2223 2343 2574 2698 2717 2769 3042 3211 3718 3762 4047 4446 4686 5434 5538 5577 6422 7029 8094 8151 8307 9633 10153 11154 11999 12141 14058 14839 16302 16614 16731 17537 19266 20306 23998 24282 24453 28899 29678 30459 33462 35074 35321 35997 44517 48906 52611 57798 60918 70642 71994 89034 91377 105222 105963 107991 131989 133551 157833 182754 192907 211926 215982 227981 263978 267102 315666 317889 385814 395967 455962 578721 635778 683943 791934 1157442 1187901 1367886 1736163 2051829 2375802 2507791 3472326 4103658 5015582 7523373 15046746 22570119 45140238