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5593968 = 243323563
BaseRepresentation
bin10101010101101101110000
3101112012111000
4111111231300
52413001333
6315522000
765355642
oct25255560
911465430
105593968
113180916
121a59300
13120b253
14a58892
15757713
hex555b70

5593968 has 80 divisors (see below), whose sum is σ = 16784640. Its totient is φ = 1780416.

The previous prime is 5593943. The next prime is 5594009. The reversal of 5593968 is 8693955.

5593968 is a `hidden beast` number, since 559 + 3 + 96 + 8 = 666.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9655 + ... + 10217.

It is an arithmetic number, because the mean of its divisors is an integer number (209808).

Almost surely, 25593968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5593968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392320).

5593968 is an abundant number, since it is smaller than the sum of its proper divisors (11190672).

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

5593968 is a wasteful number, since it uses less digits than its factorization.

5593968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 5593968 is about 2365.1570772361. The cubic root of 5593968 is about 177.5170174784.

It can be divided in two parts, 5593 and 968, that added together give a 8-th power (6561 = 38).

The spelling of 5593968 in words is "five million, five hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 563 621 828 1104 1126 1242 1656 1689 2252 2484 3312 3378 4504 4968 5067 6756 9008 9936 10134 12949 13512 15201 20268 25898 27024 30402 38847 40536 51796 60804 77694 81072 103592 116541 121608 155388 207184 233082 243216 310776 349623 466164 621552 699246 932328 1398492 1864656 2796984 5593968