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45312150 = 235213191223
BaseRepresentation
bin1010110011011…
…0100010010110
310011021002120210
42230312202112
543044442100
64255110250
71060101252
oct254664226
9104232523
1045312150
1123639764
1213212386
139506730
146037262
153ea0c50
hex2b36896

45312150 has 96 divisors (see below), whose sum is σ = 127491840. Its totient is φ = 10558080.

The previous prime is 45312149. The next prime is 45312187. The reversal of 45312150 is 5121354.

45312150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36439 + ... + 37661.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 245312150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45312150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

45312150 is an abundant number, since it is smaller than the sum of its proper divisors (82179690).

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

45312150 is a wasteful number, since it uses less digits than its factorization.

45312150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 45312150 is about 6731.4300115206. The cubic root of 45312150 is about 356.5098688704.

The spelling of 45312150 in words is "forty-five million, three hundred twelve thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 65 75 78 95 114 130 150 190 195 247 285 325 390 475 494 570 650 741 950 975 1223 1235 1425 1482 1950 2446 2470 2850 3669 3705 6115 6175 7338 7410 12230 12350 15899 18345 18525 23237 30575 31798 36690 37050 46474 47697 61150 69711 79495 91725 95394 116185 139422 158990 183450 232370 238485 302081 348555 397475 476970 580925 604162 697110 794950 906243 1161850 1192425 1510405 1742775 1812486 2384850 3020810 3485550 4531215 7552025 9062430 15104050 22656075 45312150