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5693625 = 33537241
BaseRepresentation
bin10101101110000010111001
3101201021012000
4111232002321
52424144000
6322011213
766252330
oct25560271
911637160
105693625
113239783
121aa6b09
131244712
14a82d17
15777000
hex56e0b9

5693625 has 64 divisors (see below), whose sum is σ = 12080640. Its totient is φ = 2592000.

The previous prime is 5693621. The next prime is 5693641. The reversal of 5693625 is 5263965.

5693625 is a nontrivial binomial coefficient, being equal to C(3375, 2).

It is not a de Polignac number, because 5693625 - 22 = 5693621 is a prime.

5693625 is a lucky number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 5693625.

It is not an unprimeable number, because it can be changed into a prime (5693621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23505 + ... + 23745.

It is an arithmetic number, because the mean of its divisors is an integer number (188760).

Almost surely, 25693625 is an apocalyptic number.

5693625 is the 3374-th triangular number.

It is an amenable number.

5693625 is an abundant number, since it is smaller than the sum of its proper divisors (6387015).

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

5693625 is a wasteful number, since it uses less digits than its factorization.

5693625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 5693625 is about 2386.1318069210. The cubic root of 5693625 is about 178.5649788147.

The spelling of 5693625 in words is "five million, six hundred ninety-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 241 315 375 525 675 723 875 945 1125 1205 1575 1687 2169 2625 3375 3615 4725 5061 6025 6507 7875 8435 10845 15183 18075 23625 25305 30125 32535 42175 45549 54225 75915 90375 126525 162675 210875 227745 271125 379575 632625 813375 1138725 1897875 5693625