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5756608 = 2611131737
BaseRepresentation
bin10101111101011011000000
3101211110120201
4111331123000
52433202413
6323214544
766634054
oct25753300
911743521
105756608
113282030
121b17454
1312672a0
14a9bc64
1578a9dd
hex57d6c0

5756608 has 112 divisors (see below), whose sum is σ = 14593824. Its totient is φ = 2211840.

The previous prime is 5756599. The next prime is 5756623. The reversal of 5756608 is 8066575.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155566 + ... + 155602.

It is an arithmetic number, because the mean of its divisors is an integer number (130302).

Almost surely, 25756608 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 5756608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296912).

5756608 is an abundant number, since it is smaller than the sum of its proper divisors (8837216).

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

5756608 is a wasteful number, since it uses less digits than its factorization.

5756608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 5756608 is about 2399.2932292657. The cubic root of 5756608 is about 179.2209956267.

It can be divided in two parts, 57 and 56608, that added together give a palindrome (56665).

The spelling of 5756608 in words is "five million, seven hundred fifty-six thousand, six hundred eight".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 37 44 52 64 68 74 88 104 136 143 148 176 187 208 221 272 286 296 352 374 407 416 442 481 544 572 592 629 704 748 814 832 884 962 1088 1144 1184 1258 1496 1628 1768 1924 2288 2368 2431 2516 2992 3256 3536 3848 4576 4862 5032 5291 5984 6512 6919 7072 7696 8177 9152 9724 10064 10582 11968 13024 13838 14144 15392 16354 19448 20128 21164 26048 27676 30784 32708 38896 40256 42328 55352 65416 77792 84656 89947 110704 130832 155584 169312 179894 221408 261664 338624 359788 442816 523328 719576 1439152 2878304 5756608