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264139988 = 22727318461
BaseRepresentation
bin11111011111001…
…11010011010100
3200102000200221112
433233213103110
51020104434423
642113234152
76355103300
oct1757472324
9612020845
10264139988
11126111312
1274562958
1342953768
142711ad00
15182c8a78
hexfbe74d4

264139988 has 36 divisors (see below), whose sum is σ = 545109012. Its totient is φ = 111646080.

The previous prime is 264139987. The next prime is 264140029. The reversal of 264139988 is 889931462.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68923204 + 195216784 = 8302^2 + 13972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264139987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5078 + ... + 23538.

It is an arithmetic number, because the mean of its divisors is an integer number (15141917).

Almost surely, 2264139988 is an apocalyptic number.

264139988 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 264139988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272554506).

264139988 is an abundant number, since it is smaller than the sum of its proper divisors (280969024).

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

264139988 is a wasteful number, since it uses less digits than its factorization.

264139988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18552 (or 18543 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 264139988 is about 16252.3840712678. The cubic root of 264139988 is about 641.6202339220.

The spelling of 264139988 in words is "two hundred sixty-four million, one hundred thirty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 2044 3577 7154 14308 18461 36922 73844 129227 258454 516908 904589 1347653 1809178 2695306 3618356 5390612 9433571 18867142 37734284 66034997 132069994 264139988