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45908370 = 2345192157
BaseRepresentation
bin1010111100100…
…0000110010010
310012101101110000
42233020012102
543223031440
64315550430
71065133434
oct257100622
9105341400
1045908370
1123a06702
121345b416
139684c21
146150654
15406c730
hex2bc8192

45908370 has 120 divisors (see below), whose sum is σ = 131111244. Its totient is φ = 11524032.

The previous prime is 45908339. The next prime is 45908371. The reversal of 45908370 is 7380954.

It can be written as a sum of positive squares in 2 ways, for example, as 44475561 + 1432809 = 6669^2 + 1197^2 .

It is not an unprimeable number, because it can be changed into a prime (45908371) 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 59 ways as a sum of consecutive naturals, for example, 292332 + ... + 292488.

Almost surely, 245908370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45908370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65555622).

45908370 is an abundant number, since it is smaller than the sum of its proper divisors (85202874).

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

45908370 is a wasteful number, since it uses less digits than its factorization.

45908370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45908370 is about 6775.5715626064. The cubic root of 45908370 is about 358.0667197725.

The spelling of 45908370 in words is "forty-five million, nine hundred eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 157 162 171 190 270 285 314 342 361 405 471 513 570 722 785 810 855 942 1026 1083 1413 1539 1570 1710 1805 2166 2355 2565 2826 2983 3078 3249 3610 4239 4710 5130 5415 5966 6498 7065 7695 8478 8949 9747 10830 12717 14130 14915 15390 16245 17898 19494 21195 25434 26847 29241 29830 32490 42390 44745 48735 53694 56677 58482 63585 80541 89490 97470 113354 127170 134235 146205 161082 170031 241623 268470 283385 292410 340062 402705 483246 510093 566770 805410 850155 1020186 1208115 1530279 1700310 2416230 2550465 3060558 4590837 5100930 7651395 9181674 15302790 22954185 45908370