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4385745 = 345721317
BaseRepresentation
bin10000101110101111010001
322020211010000
4100232233101
52110320440
6234000213
752164300
oct20565721
98224100
104385745
112526091
121576069
13ba7320
14822437
155b9730
hex42ebd1

4385745 has 120 divisors (see below), whose sum is σ = 10428264. Its totient is φ = 1741824.

The previous prime is 4385743. The next prime is 4385783. The reversal of 4385745 is 5475834.

4385745 = T53 + T54 + ... + T297.

4385745 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 321489 + 4064256 = 567^2 + 2016^2 .

It is not a de Polignac number, because 4385745 - 21 = 4385743 is a prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4385743) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257977 + ... + 257993.

Almost surely, 24385745 is an apocalyptic number.

4385745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4385745 is an abundant number, since it is smaller than the sum of its proper divisors (6042519).

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

4385745 is a wasteful number, since it uses less digits than its factorization.

4385745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 45 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 4385745 is about 2094.2170374629. The cubic root of 4385745 is about 163.6871016905.

The spelling of 4385745 in words is "four million, three hundred eighty-five thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 13 15 17 21 27 35 39 45 49 51 63 65 81 85 91 105 117 119 135 147 153 189 195 221 245 255 273 315 351 357 405 441 455 459 567 585 595 637 663 735 765 819 833 945 1053 1071 1105 1323 1365 1377 1547 1755 1785 1911 1989 2205 2295 2457 2499 2835 3185 3213 3315 3969 4095 4165 4641 5265 5355 5733 5967 6615 6885 7371 7497 7735 9555 9639 9945 10829 12285 12495 13923 16065 17199 17901 19845 22491 23205 28665 29835 32487 36855 37485 41769 48195 51597 54145 67473 69615 85995 89505 97461 112455 125307 162435 208845 257985 292383 337365 487305 626535 877149 1461915 4385745