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264148848 = 24329718911
BaseRepresentation
bin11111011111010…
…01011101110000
3200102001011002200
433233221131300
51020110230343
642113343200
76355141155
oct1757513560
9612034080
10264148848
11126117a37
1274567b00
13429577c2
142712022c
15182cb4d3
hexfbe9770

264148848 has 60 divisors (see below), whose sum is σ = 746910528. Its totient is φ = 87137280.

The previous prime is 264148837. The next prime is 264148853. The reversal of 264148848 is 848841462.

It is a super-2 number, since 2×2641488482 = 139549227799454208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4513 + ... + 23423.

Almost surely, 2264148848 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 264148848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373455264).

264148848 is an abundant number, since it is smaller than the sum of its proper divisors (482761680).

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

264148848 is a wasteful number, since it uses less digits than its factorization.

264148848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19022 (or 19013 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 264148848 is about 16252.6566443766. The cubic root of 264148848 is about 641.6274077591.

The spelling of 264148848 in words is "two hundred sixty-four million, one hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 18911 37822 56733 75644 113466 151288 170199 226932 302576 340398 453864 680796 907728 1361592 1834367 2723184 3668734 5503101 7337468 11006202 14674936 16509303 22012404 29349872 33018606 44024808 66037212 88049616 132074424 264148848