Base | Representation |
---|---|
bin | 11110001111010… |
… | …11100010000000 |
3 | 122200022211221200 |
4 | 33013223202000 |
5 | 1004414442202 |
6 | 41101021200 |
7 | 6200113131 |
oct | 1707534200 |
9 | 580284850 |
10 | 253671552 |
11 | 120211212 |
12 | 70b54800 |
13 | 40729914 |
14 | 25993c88 |
15 | 1740be1c |
hex | f1eb880 |
253671552 has 96 divisors (see below), whose sum is σ = 772965180. Its totient is φ = 79577088.
The previous prime is 253671547. The next prime is 253671557. The reversal of 253671552 is 255176352.
253671552 is a `hidden beast` number, since 2 + 5 + 36 + 71 + 552 = 666.
It is an interprime number because it is at equal distance from previous prime (253671547) and next prime (253671557).
It can be written as a sum of positive squares in 2 ways, for example, as 251666496 + 2005056 = 15864^2 + 1416^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (253671557) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13108 + ... + 26060.
Almost surely, 2253671552 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 253671552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386482590).
253671552 is an abundant number, since it is smaller than the sum of its proper divisors (519293628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
253671552 is a wasteful number, since it uses less digits than its factorization.
253671552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12990 (or 12975 counting only the distinct ones).
The product of its digits is 63000, while the sum is 36.
The square root of 253671552 is about 15927.0697870010. The cubic root of 253671552 is about 633.0294603810.
It can be divided in two parts, 2536 and 71552, that added together give a cube (74088 = 423).
The spelling of 253671552 in words is "two hundred fifty-three million, six hundred seventy-one thousand, five hundred fifty-two".
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