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247800056 = 23724361241
BaseRepresentation
bin11101100010100…
…10000011111000
3122021021112202212
432301102003320
51001414100211
640331114252
76066160100
oct1661220370
9567245685
10247800056
11117970939
126aba2988
133c45226a
1424ca6200
1516b4c38b
hexec520f8

247800056 has 96 divisors (see below), whose sum is σ = 564450480. Its totient is φ = 101606400.

The previous prime is 247800031. The next prime is 247800067. The reversal of 247800056 is 650008742.

It is a super-2 number, since 2×2478000562 = 122809735507206272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247799995 and 247800031.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1028096 + ... + 1028336.

Almost surely, 2247800056 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 247800056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282225240).

247800056 is an abundant number, since it is smaller than the sum of its proper divisors (316650424).

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

247800056 is a wasteful number, since it uses less digits than its factorization.

247800056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 247800056 is about 15741.6662396330. Note that the first 3 decimals coincide. The cubic root of 247800056 is about 628.1072409391.

Adding to 247800056 its reverse (650008742), we get a palindrome (897808798).

The spelling of 247800056 in words is "two hundred forty-seven million, eight hundred thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 43 49 56 61 86 98 122 172 196 241 244 301 344 392 427 482 488 602 854 964 1204 1687 1708 1928 2107 2408 2623 2989 3374 3416 4214 5246 5978 6748 8428 10363 10492 11809 11956 13496 14701 16856 18361 20726 20984 23618 23912 29402 36722 41452 47236 58804 72541 73444 82904 94472 102907 117608 128527 145082 146888 205814 257054 290164 411628 507787 514108 580328 632143 720349 823256 1015574 1028216 1264286 1440698 2031148 2528572 2881396 4062296 4425001 5057144 5762792 8850002 17700004 30975007 35400008 61950014 123900028 247800056