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247131072 = 2632487881
BaseRepresentation
bin11101011101011…
…10101111000000
3122020000120002200
432232232233000
51001231143242
640304513200
76060402516
oct1656565700
9566016080
10247131072
11117554261
126a91b800
133c279906
1424b704b6
1516a6904c
hexebaebc0

247131072 has 84 divisors (see below), whose sum is σ = 710616816. Its totient is φ = 82114560.

The previous prime is 247131037. The next prime is 247131077. The reversal of 247131072 is 270131742.

It is a happy number.

It is a super-2 number, since 2×2471310722 = 122147533495738368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247131077) 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, 280072 + ... + 280952.

It is an arithmetic number, because the mean of its divisors is an integer number (8459724).

Almost surely, 2247131072 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 247131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355308408).

247131072 is an abundant number, since it is smaller than the sum of its proper divisors (463485744).

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

247131072 is a wasteful number, since it uses less digits than its factorization.

247131072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 247131072 is about 15720.4030482682. The cubic root of 247131072 is about 627.5414993480.

The spelling of 247131072 in words is "two hundred forty-seven million, one hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 487 576 881 974 1461 1762 1948 2643 2922 3524 3896 4383 5286 5844 7048 7792 7929 8766 10572 11688 14096 15584 15858 17532 21144 23376 28192 31168 31716 35064 42288 46752 56384 63432 70128 84576 93504 126864 140256 169152 253728 280512 429047 507456 858094 1287141 1716188 2574282 3432376 3861423 5148564 6864752 7722846 10297128 13729504 15445692 20594256 27459008 30891384 41188512 61782768 82377024 123565536 247131072