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5832828 = 22322937151
BaseRepresentation
bin10110010000000001111100
3101222100010200
4112100001330
52443122303
6325003500
7100402221
oct26200174
911870120
105832828
113324321
121b53590
131292ba1
14abb948
157a33a3
hex59007c

5832828 has 72 divisors (see below), whose sum is σ = 15768480. Its totient is φ = 1814400.

The previous prime is 5832803. The next prime is 5832839. The reversal of 5832828 is 8282385.

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

It is a junction number, because it is equal to n+sod(n) for n = 5832792 and 5832801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38553 + ... + 38703.

Almost surely, 25832828 is an apocalyptic number.

5832828 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5832828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884240).

5832828 is an abundant number, since it is smaller than the sum of its proper divisors (9935652).

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

5832828 is a wasteful number, since it uses less digits than its factorization.

5832828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5832828 is about 2415.1248414937. The cubic root of 5832828 is about 180.0085181154.

The spelling of 5832828 in words is "five million, eight hundred thirty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 111 116 148 151 174 222 261 302 333 348 444 453 522 604 666 906 1044 1073 1332 1359 1812 2146 2718 3219 4292 4379 5436 5587 6438 8758 9657 11174 12876 13137 16761 17516 19314 22348 26274 33522 38628 39411 50283 52548 67044 78822 100566 157644 162023 201132 324046 486069 648092 972138 1458207 1944276 2916414 5832828