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26490772 = 22721121117
BaseRepresentation
bin110010100001…
…1011110010100
31211211212111201
41211003132110
523240201042
62343442244
7441111400
oct145033624
954755451
1026490772
1113a53a00
128a56384
135646919
143738100
1524d41b7
hex1943794

26490772 has 54 divisors (see below), whose sum is σ = 59328906. Its totient is φ = 10311840.

The previous prime is 26490757. The next prime is 26490773. The reversal of 26490772 is 27709462.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 16032016 + 10458756 = 4004^2 + 3234^2 .

It is a super-2 number, since 2×264907722 = 1403522002311968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26490773) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23158 + ... + 24274.

Almost surely, 226490772 is an apocalyptic number.

26490772 is a gapful number since it is divisible by the number (22) 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 26490772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29664453).

26490772 is an abundant number, since it is smaller than the sum of its proper divisors (32838134).

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

26490772 is a wasteful number, since it uses less digits than its factorization.

26490772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 26490772 is about 5146.9186898571. The cubic root of 26490772 is about 298.1019875232.

The spelling of 26490772 in words is "twenty-six million, four hundred ninety thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1117 1694 2156 2234 3388 4468 5929 7819 11858 12287 15638 23716 24574 31276 49148 54733 86009 109466 135157 172018 218932 270314 344036 540628 602063 946099 1204126 1892198 2408252 3784396 6622693 13245386 26490772