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5735232 = 26333319
BaseRepresentation
bin10101111000001101000000
3101210101021000
4111320031000
52432011412
6322532000
766514536
oct25701500
911711230
105735232
113267a68
121b07000
13125a639
14a94156
157844dc
hex578340

5735232 has 56 divisors (see below), whose sum is σ = 16865600. Its totient is φ = 1911168.

The previous prime is 5735221. The next prime is 5735251. The reversal of 5735232 is 2325375.

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

It is a junction number, because it is equal to n+sod(n) for n = 5735196 and 5735205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 3387.

Almost surely, 25735232 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 5735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432800).

5735232 is an abundant number, since it is smaller than the sum of its proper divisors (11130368).

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

5735232 is a wasteful number, since it uses less digits than its factorization.

5735232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3324 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 5735232 is about 2394.8344410418. The cubic root of 5735232 is about 178.9988868360.

The spelling of 5735232 in words is "five million, seven hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3319 6638 9957 13276 19914 26552 29871 39828 53104 59742 79656 89613 106208 119484 159312 179226 212416 238968 318624 358452 477936 637248 716904 955872 1433808 1911744 2867616 5735232