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45442350 = 2335241821
BaseRepresentation
bin1010110101011…
…0010100101110
310011111201012000
42231112110232
543113123400
64301553130
71061152662
oct255262456
9104451160
1045442350
1123718568
12132757a6
139550a85
14606c8a2
153ec9600
hex2b5652e

45442350 has 96 divisors (see below), whose sum is σ = 128429280. Its totient is φ = 11808000.

The previous prime is 45442349. The next prime is 45442361. The reversal of 45442350 is 5324454.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

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, 54940 + ... + 55760.

It is an arithmetic number, because the mean of its divisors is an integer number (1337805).

Almost surely, 245442350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45442350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64214640).

45442350 is an abundant number, since it is smaller than the sum of its proper divisors (82986930).

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

45442350 is a wasteful number, since it uses less digits than its factorization.

45442350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45442350 is about 6741.0941248435. The cubic root of 45442350 is about 356.8510076671.

The spelling of 45442350 in words is "forty-five million, four hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 82 90 123 135 150 205 225 246 270 369 410 450 615 675 738 821 1025 1107 1230 1350 1642 1845 2050 2214 2463 3075 3690 4105 4926 5535 6150 7389 8210 9225 11070 12315 14778 18450 20525 22167 24630 27675 33661 36945 41050 44334 55350 61575 67322 73890 100983 110835 123150 168305 184725 201966 221670 302949 336610 369450 504915 554175 605898 841525 908847 1009830 1108350 1514745 1683050 1817694 2524575 3029490 4544235 5049150 7573725 9088470 15147450 22721175 45442350