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45627036 = 223721347127
BaseRepresentation
bin1010111000001…
…1011010011100
310011212002112020
42232003122130
543140031121
64305540140
71062552300
oct256033234
9104762466
1045627036
11238342a4
1213344650
1395b6b60
1460b9d00
1540141c6
hex2b8369c

45627036 has 144 divisors (see below), whose sum is σ = 137281536. Its totient is φ = 11684736.

The previous prime is 45627019. The next prime is 45627041. The reversal of 45627036 is 63072654.

45627036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45626988 and 45627006.

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, 359205 + ... + 359331.

It is an arithmetic number, because the mean of its divisors is an integer number (953344).

Almost surely, 245627036 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 45627036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640768).

45627036 is an abundant number, since it is smaller than the sum of its proper divisors (91654500).

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

45627036 is a wasteful number, since it uses less digits than its factorization.

45627036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 45627036 is about 6754.7787528534. The cubic root of 45627036 is about 357.3337900820. Note that the first 3 decimals are identical.

The spelling of 45627036 in words is "forty-five million, six hundred twenty-seven thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 49 52 78 84 91 94 98 127 141 147 156 182 188 196 254 273 282 294 329 364 381 508 546 564 588 611 637 658 762 889 987 1092 1222 1274 1316 1524 1651 1778 1833 1911 1974 2303 2444 2548 2667 3302 3556 3666 3822 3948 4277 4606 4953 5334 5969 6223 6604 6909 7332 7644 8554 9212 9906 10668 11557 11938 12446 12831 13818 17108 17907 18669 19812 23114 23876 24892 25662 27636 29939 34671 35814 37338 41783 46228 51324 59878 69342 71628 74676 77597 80899 83566 89817 119756 125349 138684 155194 161798 167132 179634 232791 242697 250698 292481 310388 323596 359268 465582 485394 501396 543179 584962 877443 931164 970788 1086358 1169924 1629537 1754886 2172716 3259074 3509772 3802253 6518148 7604506 11406759 15209012 22813518 45627036