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45950490 = 2345174771
BaseRepresentation
bin1010111101001…
…0011000011010
310012110112020000
42233102120122
543230403430
64320513430
71065400305
oct257223032
9105415200
1045950490
1123a35313
121347b876
13969b151
146161b3c
154079e60
hex2bd261a

45950490 has 160 divisors (see below), whose sum is σ = 135489024. Its totient is φ = 11128320.

The previous prime is 45950467. The next prime is 45950497. The reversal of 45950490 is 9405954.

45950490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459504902 = 4222895062480200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45950497) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 647155 + ... + 647225.

Almost surely, 245950490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45950490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67744512).

45950490 is an abundant number, since it is smaller than the sum of its proper divisors (89538534).

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

45950490 is a wasteful number, since it uses less digits than its factorization.

45950490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45950490 is about 6778.6790748641. The cubic root of 45950490 is about 358.1761926216.

The spelling of 45950490 in words is "forty-five million, nine hundred fifty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 47 51 54 71 81 85 90 94 102 135 141 142 153 162 170 213 235 255 270 282 306 355 405 423 426 459 470 510 639 705 710 765 799 810 846 918 1065 1207 1269 1278 1377 1410 1530 1598 1917 2115 2130 2295 2397 2414 2538 2754 3195 3337 3621 3807 3834 3995 4230 4590 4794 5751 6035 6345 6390 6674 6885 7191 7242 7614 7990 9585 10011 10863 11502 11985 12070 12690 13770 14382 16685 18105 19035 19170 20022 21573 21726 23970 28755 30033 32589 33370 35955 36210 38070 43146 50055 54315 56729 57510 60066 64719 65178 71910 90099 97767 100110 107865 108630 113458 129438 150165 162945 170187 180198 195534 215730 270297 283645 300330 323595 325890 340374 450495 488835 510561 540594 567290 647190 850935 900990 977670 1021122 1351485 1531683 1701870 2552805 2702970 3063366 4595049 5105610 7658415 9190098 15316830 22975245 45950490