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5756790 = 2351329509
BaseRepresentation
bin10101111101011101110110
3101211110211110
4111331131312
52433204130
6323215450
766634434
oct25753566
911743743
105756790
113282186
121b17586
1312673b0
14a9bd54
1578aab0
hex57d776

5756790 has 64 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1365504.

The previous prime is 5756789. The next prime is 5756801. The reversal of 5756790 is 976575.

It is a super-2 number, since 2×57567902 = 66281262208200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11056 + ... + 11564.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 25756790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

5756790 is an abundant number, since it is smaller than the sum of its proper divisors (9665610).

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

5756790 is a wasteful number, since it uses less digits than its factorization.

5756790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561.

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 5756790 is about 2399.3311568018. The cubic root of 5756790 is about 179.2228843476. Note that the first 3 decimals are identical.

The spelling of 5756790 in words is "five million, seven hundred fifty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 509 754 870 1018 1131 1527 1885 2262 2545 3054 3770 5090 5655 6617 7635 11310 13234 14761 15270 19851 29522 33085 39702 44283 66170 73805 88566 99255 147610 191893 198510 221415 383786 442830 575679 959465 1151358 1918930 2878395 5756790