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115265488 = 24132997197
BaseRepresentation
bin1101101111011…
…00111111010000
322000220002112011
412313230333100
5214001443423
615234312304
72566511662
oct667547720
9260802464
10115265488
115a078738
1232728694
131ab59c40
1411446532
15a1bcb0d
hex6decfd0

115265488 has 80 divisors (see below), whose sum is σ = 252640080. Its totient is φ = 50577408.

The previous prime is 115265453. The next prime is 115265497. The reversal of 115265488 is 884562511.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1459264 + 113806224 = 1208^2 + 10668^2 .

It is a super-2 number, since 2×1152654882 = 26572265447756288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115265488.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585006 + ... + 585202.

It is an arithmetic number, because the mean of its divisors is an integer number (3158001).

Almost surely, 2115265488 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 115265488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126320040).

115265488 is an abundant number, since it is smaller than the sum of its proper divisors (137374592).

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

115265488 is a wasteful number, since it uses less digits than its factorization.

115265488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its digits is 76800, while the sum is 40.

The square root of 115265488 is about 10736.1766006340. The cubic root of 115265488 is about 486.6683438569.

The spelling of 115265488 in words is "one hundred fifteen million, two hundred sixty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 97 104 116 194 197 208 232 377 388 394 464 754 776 788 1261 1508 1552 1576 2522 2561 2813 3016 3152 5044 5122 5626 5713 6032 10088 10244 11252 11426 19109 20176 20488 22504 22852 36569 38218 40976 45008 45704 73138 74269 76436 91408 146276 148538 152872 248417 292552 297076 305744 496834 554161 585104 594152 993668 1108322 1188304 1987336 2216644 3974672 4433288 7204093 8866576 14408186 28816372 57632744 115265488