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5693472 = 253253373
BaseRepresentation
bin10101101110000000100000
3101201020222100
4111232000200
52424142342
6322010400
766252021
oct25560040
911636870
105693472
113239654
121aa6a00
131244625
14a82c48
15776e4c
hex56e020

5693472 has 72 divisors (see below), whose sum is σ = 16540524. Its totient is φ = 1857024.

The previous prime is 5693461. The next prime is 5693503. The reversal of 5693472 is 2743965.

It can be written as a sum of positive squares in 2 ways, for example, as 5588496 + 104976 = 2364^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 57 + 65 + 97 + 3 + 45 + 77 + 25 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15078 + ... + 15450.

Almost surely, 25693472 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 5693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270262).

5693472 is an abundant number, since it is smaller than the sum of its proper divisors (10847052).

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

5693472 is a wasteful number, since it uses less digits than its factorization.

5693472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 5693472 is about 2386.0997464482. The cubic root of 5693472 is about 178.5633793248.

It can be divided in two parts, 56 and 93472, that added together give a triangular number (93528 = T432).

The spelling of 5693472 in words is "five million, six hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 373 424 477 636 746 848 954 1119 1272 1492 1696 1908 2238 2544 2984 3357 3816 4476 5088 5968 6714 7632 8952 11936 13428 15264 17904 19769 26856 35808 39538 53712 59307 79076 107424 118614 158152 177921 237228 316304 355842 474456 632608 711684 948912 1423368 1897824 2846736 5693472