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5758064 = 2413193147
BaseRepresentation
bin10101111101110001110000
3101211112120122
4111331301300
52433224224
6323225412
766641234
oct25756160
911745518
105758064
113283134
121b18268
131267b50
14a9c5c4
1578b15e
hex57dc70

5758064 has 80 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 2384640.

The previous prime is 5758061. The next prime is 5758069. The reversal of 5758064 is 4608575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5758061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122489 + ... + 122535.

It is an arithmetic number, because the mean of its divisors is an integer number (166656).

Almost surely, 25758064 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 5758064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).

5758064 is an abundant number, since it is smaller than the sum of its proper divisors (7574416).

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

5758064 is a wasteful number, since it uses less digits than its factorization.

5758064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 5758064 is about 2399.5966327698. The cubic root of 5758064 is about 179.2361042794.

The spelling of 5758064 in words is "five million, seven hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 19 26 31 38 47 52 62 76 94 104 124 152 188 208 247 248 304 376 403 494 496 589 611 752 806 893 988 1178 1222 1457 1612 1786 1976 2356 2444 2914 3224 3572 3952 4712 4888 5828 6448 7144 7657 9424 9776 11609 11656 14288 15314 18941 23218 23312 27683 30628 37882 46436 55366 61256 75764 92872 110732 122512 151528 185744 221464 303056 359879 442928 719758 1439516 2879032 5758064