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4032945 = 325723159
BaseRepresentation
bin1111011000100110110001
321120220011100
433120212301
52013023240
6222235013
746164600
oct17304661
97526140
104032945
112305014
121425a69
13ab2877
1476da37
15549e30
hex3d89b1

4032945 has 72 divisors (see below), whose sum is σ = 8536320. Its totient is φ = 1753920.

The previous prime is 4032923. The next prime is 4032947. The reversal of 4032945 is 5492304.

It is not a de Polignac number, because 4032945 - 25 = 4032913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4032947) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68326 + ... + 68384.

It is an arithmetic number, because the mean of its divisors is an integer number (118560).

Almost surely, 24032945 is an apocalyptic number.

4032945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4032945 is an abundant number, since it is smaller than the sum of its proper divisors (4503375).

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

4032945 is a wasteful number, since it uses less digits than its factorization.

4032945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4032945 is about 2008.2193605281. The cubic root of 4032945 is about 159.1747218983.

The spelling of 4032945 in words is "four million, thirty-two thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 59 63 93 105 147 155 177 217 245 279 295 315 413 441 465 531 651 735 885 1085 1239 1395 1519 1829 1953 2065 2205 2655 2891 3255 3717 4557 5487 6195 7595 8673 9145 9765 12803 13671 14455 16461 18585 22785 26019 27435 38409 43365 64015 68355 82305 89621 115227 130095 192045 268863 448105 576135 806589 1344315 4032945