Search a number
-
+
26988528 = 2437471709
BaseRepresentation
bin110011011110…
…0111111110000
31212210011022010
41212330333300
523402113103
62402242520
7445253520
oct146747760
955704263
1026988528
1114263976
129056440
13578c358
143827680
152581903
hex19bcff0

26988528 has 80 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 7542528.

The previous prime is 26988527. The next prime is 26988557. The reversal of 26988528 is 82588962.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26988527) 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, 14938 + ... + 16646.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 226988528 is an apocalyptic number.

26988528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26988528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

26988528 is an abundant number, since it is smaller than the sum of its proper divisors (54434832).

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

26988528 is a wasteful number, since it uses less digits than its factorization.

26988528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 26988528 is about 5195.0484117090. The cubic root of 26988528 is about 299.9575050920.

The spelling of 26988528 in words is "twenty-six million, nine hundred eighty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1709 1974 2256 2632 3418 3948 5127 5264 6836 7896 10254 11963 13672 15792 20508 23926 27344 35889 41016 47852 71778 80323 82032 95704 143556 160646 191408 240969 287112 321292 481938 562261 574224 642584 963876 1124522 1285168 1686783 1927752 2249044 3373566 3855504 4498088 6747132 8996176 13494264 26988528