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268516464 = 24313142703
BaseRepresentation
bin10000000000010…
…011110001110000
3200201021001100020
4100000103301300
51022220011324
642351123440
76440231556
oct2000236160
9621231306
10268516464
11128630437
1275b13580
13438267a8
1427939bd6
1518890679
hex10013c70

268516464 has 40 divisors (see below), whose sum is σ = 698979072. Its totient is φ = 88820160.

The previous prime is 268516463. The next prime is 268516477. The reversal of 268516464 is 464615862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268516463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15064 + ... + 27639.

Almost surely, 2268516464 is an apocalyptic number.

268516464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268516464 is an abundant number, since it is smaller than the sum of its proper divisors (430462608).

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

268516464 is a wasteful number, since it uses less digits than its factorization.

268516464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42845 (or 42839 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 268516464 is about 16386.4719814852. The cubic root of 268516464 is about 645.1444613627.

The spelling of 268516464 in words is "two hundred sixty-eight million, five hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 42703 85406 128109 170812 256218 341624 512436 683248 1024872 2049744 5594093 11188186 16782279 22376372 33564558 44752744 67129116 89505488 134258232 268516464