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5782952 = 237372791
BaseRepresentation
bin10110000011110110101000
3101212210201102
4112003312220
52440023302
6323540532
7100103630
oct26036650
911783642
105782952
11329a8aa
121b2a748
131276286
14aa76c0
15793702
hex583da8

5782952 has 32 divisors (see below), whose sum is σ = 12731520. Its totient is φ = 2410560.

The previous prime is 5782951. The next prime is 5782969. The reversal of 5782952 is 2592875.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 52 + 78 + 83 + 210 + 92 + 53 + 214 .

It is not an unprimeable number, because it can be changed into a prime (5782951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677 + ... + 3467.

It is an arithmetic number, because the mean of its divisors is an integer number (397860).

Almost surely, 25782952 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 5782952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365760).

5782952 is an abundant number, since it is smaller than the sum of its proper divisors (6948568).

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

5782952 is a wasteful number, since it uses less digits than its factorization.

5782952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2837 counting only the distinct ones).

The product of its digits is 50400, while the sum is 38.

The square root of 5782952 is about 2404.7769127302. The cubic root of 5782952 is about 179.4939696869.

The spelling of 5782952 in words is "five million, seven hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 2791 5582 11164 19537 22328 39074 78148 103267 156296 206534 413068 722869 826136 1445738 2891476 5782952