Search a number
-
+
5692032 = 273661
BaseRepresentation
bin10101101101101010000000
3101201012000000
4111231222000
52424121112
6322000000
766244563
oct25555200
911635000
105692032
113238565
121aa6000
131243a88
14a824da
157767dc
hex56da80

5692032 has 112 divisors (see below), whose sum is σ = 17280330. Its totient is φ = 1866240.

The previous prime is 5692031. The next prime is 5692051. The reversal of 5692032 is 2302965.

It can be written as a sum of positive squares in only one way, i.e., 5645376 + 46656 = 2376^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 5691987 and 5692005.

It is not an unprimeable number, because it can be changed into a prime (5692031) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93282 + ... + 93342.

Almost surely, 25692032 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 5692032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640165).

5692032 is an abundant number, since it is smaller than the sum of its proper divisors (11588298).

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

5692032 is an frugal number, since it uses more digits than its factorization.

5692032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5692032 is about 2385.7979797124. The cubic root of 5692032 is about 178.5483238983.

Adding to 5692032 its reverse (2302965), we get a palindrome (7994997).

It can be divided in two parts, 569 and 2032, that added together give a square (2601 = 512).

The spelling of 5692032 in words is "five million, six hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 128 144 162 183 192 216 243 244 288 324 366 384 432 486 488 549 576 648 729 732 864 972 976 1098 1152 1296 1458 1464 1647 1728 1944 1952 2196 2592 2916 2928 3294 3456 3888 3904 4392 4941 5184 5832 5856 6588 7776 7808 8784 9882 10368 11664 11712 13176 14823 15552 17568 19764 23328 23424 26352 29646 31104 35136 39528 44469 46656 52704 59292 70272 79056 88938 93312 105408 118584 158112 177876 210816 237168 316224 355752 474336 632448 711504 948672 1423008 1897344 2846016 5692032