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45943240 = 2357316779
BaseRepresentation
bin1010111101000…
…0100111001000
310012110011021111
42233100213020
543230140430
64320420104
71065340210
oct257204710
9105404244
1045943240
1123a2a922
1213477634
139697a65
14615d240
154077c2a
hex2bd09c8

45943240 has 128 divisors (see below), whose sum is σ = 125337600. Its totient is φ = 14826240.

The previous prime is 45943237. The next prime is 45943243. The reversal of 45943240 is 4234954.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45943237) and next prime (45943243).

It is a super-2 number, since 2×459432402 = 4221562603395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (45943243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581521 + ... + 581599.

It is an arithmetic number, because the mean of its divisors is an integer number (979200).

Almost surely, 245943240 is an apocalyptic number.

45943240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45943240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62668800).

45943240 is an abundant number, since it is smaller than the sum of its proper divisors (79394360).

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

45943240 is a wasteful number, since it uses less digits than its factorization.

45943240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 45943240 is about 6778.1442888153. The cubic root of 45943240 is about 358.1573541284.

The spelling of 45943240 in words is "forty-five million, nine hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 67 70 79 124 134 140 155 158 217 248 268 280 310 316 335 395 434 469 536 553 620 632 670 790 868 938 1085 1106 1240 1340 1580 1736 1876 2077 2170 2212 2345 2449 2680 2765 3160 3752 4154 4340 4424 4690 4898 5293 5530 8308 8680 9380 9796 10385 10586 11060 12245 14539 16616 17143 18760 19592 20770 21172 22120 24490 26465 29078 34286 37051 41540 42344 48980 52930 58156 68572 72695 74102 83080 85715 97960 105860 116312 137144 145390 148204 164083 171430 185255 211720 290780 296408 328166 342860 370510 581560 656332 685720 741020 820415 1148581 1312664 1482040 1640830 2297162 3281660 4594324 5742905 6563320 9188648 11485810 22971620 45943240