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45435150 = 23252313257
BaseRepresentation
bin1010110101010…
…0100100001110
310011111100022100
42231110210032
543112411100
64301455530
71061122665
oct255244416
9104440270
1045435150
1123713112
12132715a6
13954a707
146069ddc
153ec7400
hex2b5490e

45435150 has 72 divisors (see below), whose sum is σ = 126045504. Its totient is φ = 11721600.

The previous prime is 45435107. The next prime is 45435161. The reversal of 45435150 is 5153454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12322 + ... + 15578.

It is an arithmetic number, because the mean of its divisors is an integer number (1750632).

Almost surely, 245435150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45435150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63022752).

45435150 is an abundant number, since it is smaller than the sum of its proper divisors (80610354).

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

45435150 is a wasteful number, since it uses less digits than its factorization.

45435150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 45435150 is about 6740.5600657512. The cubic root of 45435150 is about 356.8321598818.

The spelling of 45435150 in words is "forty-five million, four hundred thirty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 3257 4650 6514 6975 9771 13950 16285 19542 29313 32570 48855 58626 81425 97710 100967 146565 162850 201934 244275 293130 302901 488550 504835 605802 732825 908703 1009670 1465650 1514505 1817406 2524175 3029010 4543515 5048350 7572525 9087030 15145050 22717575 45435150