Search a number
-
+
45016398 = 2347253107
BaseRepresentation
bin1010101110111…
…0010101001110
310010201001220000
42223232111032
543011011043
64244505130
71054430100
oct253562516
9103631800
1045016398
1123457539
12130ab1a6
139431c2b
145d9b570
153e432d3
hex2aee54e

45016398 has 120 divisors (see below), whose sum is σ = 120669912. Its totient is φ = 12501216.

The previous prime is 45016397. The next prime is 45016403. The reversal of 45016398 is 89361054.

45016398 is a `hidden beast` number, since 4 + 501 + 63 + 98 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45016397) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 420661 + ... + 420767.

Almost surely, 245016398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45016398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60334956).

45016398 is an abundant number, since it is smaller than the sum of its proper divisors (75653514).

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

45016398 is a wasteful number, since it uses less digits than its factorization.

45016398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45016398 is about 6709.4260559306. The cubic root of 45016398 is about 355.7325295995.

The spelling of 45016398 in words is "forty-five million, sixteen thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 53 54 63 81 98 106 107 126 147 159 162 189 214 294 318 321 371 378 441 477 567 642 742 749 882 954 963 1113 1134 1323 1431 1498 1926 2226 2247 2597 2646 2862 2889 3339 3969 4293 4494 5194 5243 5671 5778 6678 6741 7791 7938 8586 8667 10017 10486 11342 13482 15582 15729 17013 17334 20034 20223 23373 30051 31458 34026 39697 40446 46746 47187 51039 60102 60669 70119 79394 94374 102078 119091 121338 140238 141561 153117 210357 238182 277879 283122 306234 357273 420714 424683 459351 555758 714546 833637 849366 918702 1071819 1667274 2143638 2500911 3215457 5001822 6430914 7502733 15005466 22508199 45016398