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5745201 = 3721121719
BaseRepresentation
bin10101111010101000110001
3101210212221020
4111322220301
52432321301
6323050053
766555600
oct25725061
911725836
105745201
113274500
121b10929
131262037
14a97a37
15787436
hex57aa31

5745201 has 72 divisors (see below), whose sum is σ = 10916640. Its totient is φ = 2661120.

The previous prime is 5745197. The next prime is 5745203. The reversal of 5745201 is 1025475.

It is not a de Polignac number, because 5745201 - 22 = 5745197 is a prime.

5745201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5745203) 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, 302370 + ... + 302388.

It is an arithmetic number, because the mean of its divisors is an integer number (151620).

Almost surely, 25745201 is an apocalyptic number.

5745201 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5745201 is a deficient number, since it is larger than the sum of its proper divisors (5171439).

5745201 is a wasteful number, since it uses less digits than its factorization.

5745201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 5745201 is about 2396.9148921061. The cubic root of 5745201 is about 179.1025389634.

It can be divided in two parts, 574 and 5201, that added together give a palindrome (5775).

The spelling of 5745201 in words is "five million, seven hundred forty-five thousand, two hundred one".

Divisors: 1 3 7 11 17 19 21 33 49 51 57 77 119 121 133 147 187 209 231 323 357 363 399 539 561 627 833 847 931 969 1309 1463 1617 2057 2261 2299 2499 2541 2793 3553 3927 4389 5929 6171 6783 6897 9163 10241 10659 14399 15827 16093 17787 24871 27489 30723 39083 43197 47481 48279 74613 100793 112651 117249 174097 273581 302379 337953 522291 820743 1915067 5745201