Search a number
-
+
5625776 = 2413173743
BaseRepresentation
bin10101011101011110110000
3101120211010002
4111131132300
52420011101
6320325132
765550452
oct25353660
911524102
105625776
1131a2802
121a737a8
13121c880
14a662d2
15761d6b
hex55d7b0

5625776 has 80 divisors (see below), whose sum is σ = 13061664. Its totient is φ = 2322432.

The previous prime is 5625773. The next prime is 5625811. The reversal of 5625776 is 6775265.

It is a d-powerful number, because it can be written as 56 + 67 + 222 + 56 + 75 + 77 + 67 .

It is not an unprimeable number, because it can be changed into a prime (5625773) 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, 130811 + ... + 130853.

Almost surely, 25625776 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 5625776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530832).

5625776 is an abundant number, since it is smaller than the sum of its proper divisors (7435888).

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

5625776 is a wasteful number, since it uses less digits than its factorization.

5625776 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 digits is 88200, while the sum is 38.

The square root of 5625776 is about 2371.8718346487. The cubic root of 5625776 is about 177.8528430683.

The spelling of 5625776 in words is "five million, six hundred twenty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 34 37 43 52 68 74 86 104 136 148 172 208 221 272 296 344 442 481 559 592 629 688 731 884 962 1118 1258 1462 1591 1768 1924 2236 2516 2924 3182 3536 3848 4472 5032 5848 6364 7696 8177 8944 9503 10064 11696 12728 16354 19006 20683 25456 27047 32708 38012 41366 54094 65416 76024 82732 108188 130832 152048 165464 216376 330928 351611 432752 703222 1406444 2812888 5625776