Search a number
-
+
2553936 = 243711691
BaseRepresentation
bin1001101111100001010000
311210202100020
421233201100
51123211221
6130423440
730464610
oct11574120
94722306
102553936
1114948a0
12a31b80
136b5608
144a6a40
15356ac6
hex26f850

2553936 has 80 divisors (see below), whose sum is σ = 8237568. Its totient is φ = 662400.

The previous prime is 2553917. The next prime is 2553937. The reversal of 2553936 is 6393552.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2553897 and 2553906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553937) 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, 3351 + ... + 4041.

22553936 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 2553936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118784).

2553936 is an abundant number, since it is smaller than the sum of its proper divisors (5683632).

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

2553936 is a wasteful number, since it uses less digits than its factorization.

2553936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 714 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 2553936 is about 1598.1038764736. The cubic root of 2553936 is about 136.6899768554.

The spelling of 2553936 in words is "two million, five hundred fifty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 691 924 1232 1382 1848 2073 2764 3696 4146 4837 5528 7601 8292 9674 11056 14511 15202 16584 19348 22803 29022 30404 33168 38696 45606 53207 58044 60808 77392 91212 106414 116088 121616 159621 182424 212828 232176 319242 364848 425656 638484 851312 1276968 2553936