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5526768 = 2431317521
BaseRepresentation
bin10101000101010011110000
3101101210022010
4111011103300
52403324033
6314242520
764656012
oct25052360
911353263
105526768
113135385
121a26440
1311b67a0
14a3c1b2
15742863
hex5454f0

5526768 has 80 divisors (see below), whose sum is σ = 16311456. Its totient is φ = 1597440.

The previous prime is 5526767. The next prime is 5526799. The reversal of 5526768 is 8676255.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5526767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10348 + ... + 10868.

Almost surely, 25526768 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 5526768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155728).

5526768 is an abundant number, since it is smaller than the sum of its proper divisors (10784688).

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

5526768 is a wasteful number, since it uses less digits than its factorization.

5526768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 5526768 is about 2350.9079097234. The cubic root of 5526768 is about 176.8033181881.

The spelling of 5526768 in words is "five million, five hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 521 624 663 816 884 1042 1326 1563 1768 2084 2652 3126 3536 4168 5304 6252 6773 8336 8857 10608 12504 13546 17714 20319 25008 26571 27092 35428 40638 53142 54184 70856 81276 106284 108368 115141 141712 162552 212568 230282 325104 345423 425136 460564 690846 921128 1381692 1842256 2763384 5526768