Search a number
-
+
2426528 = 251319307
BaseRepresentation
bin1001010000011010100000
311120021120102
421100122200
51110122103
6124001532
726424266
oct11203240
94507512
102426528
1114080a5
129902a8
1366c620
14472436
1532de88
hex2506a0

2426528 has 48 divisors (see below), whose sum is σ = 5433120. Its totient is φ = 1057536.

The previous prime is 2426527. The next prime is 2426537. The reversal of 2426528 is 8256242.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2426528.

It is not an unprimeable number, because it can be changed into a prime (2426521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7751 + ... + 8057.

It is an arithmetic number, because the mean of its divisors is an integer number (113190).

22426528 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 2426528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716560).

2426528 is an abundant number, since it is smaller than the sum of its proper divisors (3006592).

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

2426528 is a wasteful number, since it uses less digits than its factorization.

2426528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 2426528 is about 1557.7316842127. The cubic root of 2426528 is about 134.3780812706.

The spelling of 2426528 in words is "two million, four hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 307 416 494 608 614 988 1228 1976 2456 3952 3991 4912 5833 7904 7982 9824 11666 15964 23332 31928 46664 63856 75829 93328 127712 151658 186656 303316 606632 1213264 2426528