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45685350 = 2335243787
BaseRepresentation
bin1010111001000…
…1101001100110
310011222001112000
42232101221212
543143412400
64311110130
71063214304
oct256215146
9104861460
1045685350
1123874097
1213372346
139607569
1460d3274
154026600
hex2b91a66

45685350 has 96 divisors (see below), whose sum is σ = 128979840. Its totient is φ = 11884320.

The previous prime is 45685349. The next prime is 45685373. The reversal of 45685350 is 5358654.

45685350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 57657 + ... + 58443.

It is an arithmetic number, because the mean of its divisors is an integer number (1343540).

Almost surely, 245685350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45685350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64489920).

45685350 is an abundant number, since it is smaller than the sum of its proper divisors (83294490).

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

45685350 is a wasteful number, since it uses less digits than its factorization.

45685350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 45685350 is about 6759.0938741817. The cubic root of 45685350 is about 357.4859563818.

The spelling of 45685350 in words is "forty-five million, six hundred eighty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 43 45 50 54 75 86 90 129 135 150 215 225 258 270 387 430 450 645 675 774 787 1075 1161 1290 1350 1574 1935 2150 2322 2361 3225 3870 3935 4722 5805 6450 7083 7870 9675 11610 11805 14166 19350 19675 21249 23610 29025 33841 35415 39350 42498 58050 59025 67682 70830 101523 106245 118050 169205 177075 203046 212490 304569 338410 354150 507615 531225 609138 846025 913707 1015230 1062450 1522845 1692050 1827414 2538075 3045690 4568535 5076150 7614225 9137070 15228450 22842675 45685350