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45742410 = 23257174271
BaseRepresentation
bin1010111001111…
…1100101001010
310012001221210100
42232133211022
543202224120
64312230230
71063542540
oct256374512
9105057710
1045742410
1123902a4a
121339b376
13962751c
146109d90
154038490
hex2b9f94a

45742410 has 96 divisors (see below), whose sum is σ = 143949312. Its totient is φ = 9838080.

The previous prime is 45742409. The next prime is 45742439. The reversal of 45742410 is 1424754.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8575 + ... + 12845.

It is an arithmetic number, because the mean of its divisors is an integer number (1499472).

Almost surely, 245742410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45742410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71974656).

45742410 is an abundant number, since it is smaller than the sum of its proper divisors (98206902).

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

45742410 is a wasteful number, since it uses less digits than its factorization.

45742410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 45742410 is about 6763.3135370172. The cubic root of 45742410 is about 357.6347251686.

The spelling of 45742410 in words is "forty-five million, seven hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 510 595 630 714 765 1071 1190 1530 1785 2142 3570 4271 5355 8542 10710 12813 21355 25626 29897 38439 42710 59794 64065 72607 76878 89691 128130 145214 149485 179382 192195 217821 269073 298970 363035 384390 435642 448455 508249 538146 653463 726070 896910 1016498 1089105 1306926 1345365 1524747 2178210 2541245 2690730 3049494 3267315 4574241 5082490 6534630 7623735 9148482 15247470 22871205 45742410