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247421272 = 237291311163
BaseRepresentation
bin11101011111101…
…01100101011000
3122020120022011211
432233311211120
51001314440042
640315032504
76063021550
oct1657654530
9566508154
10247421272
1111773229a
126aa3b734
133c34ba27
1424c08160
1516ac5017
hexebf5958

247421272 has 64 divisors (see below), whose sum is σ = 553132800. Its totient is φ = 101512320.

The previous prime is 247421263. The next prime is 247421303. The reversal of 247421272 is 272124742.

It is a super-2 number, since 2×2474212722 = 122434571676195968, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212163 + ... + 213325.

It is an arithmetic number, because the mean of its divisors is an integer number (8642700).

Almost surely, 2247421272 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 247421272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276566400).

247421272 is an abundant number, since it is smaller than the sum of its proper divisors (305711528).

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

247421272 is a wasteful number, since it uses less digits than its factorization.

247421272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1332 counting only the distinct ones).

The product of its digits is 12544, while the sum is 31.

The square root of 247421272 is about 15729.6303834515. The cubic root of 247421272 is about 627.7870388299.

The spelling of 247421272 in words is "two hundred forty-seven million, four hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 131 203 232 262 406 524 812 917 1048 1163 1624 1834 2326 3668 3799 4652 7336 7598 8141 9304 15196 16282 26593 30392 32564 33727 53186 65128 67454 106372 134908 152353 212744 236089 269816 304706 472178 609412 944356 1066471 1218824 1888712 2132942 4265884 4418237 8531768 8836474 17672948 30927659 35345896 61855318 123710636 247421272