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247593472 = 297271139
BaseRepresentation
bin11101100000111…
…11101000000000
3122020220001101121
432300133220000
51001340442342
640322442024
76064336600
oct1660375000
9566801347
10247593472
1111783a705
126ab03314
133c3ac219
1424c50c00
1516b0b067
hexec1fa00

247593472 has 120 divisors (see below), whose sum is σ = 587774880. Its totient is φ = 103864320.

The previous prime is 247593469. The next prime is 247593481. The reversal of 247593472 is 274395742.

247593472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2475934722 = 122605054754029568, which contains 22 as substring.

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, 1781179 + ... + 1781317.

It is an arithmetic number, because the mean of its divisors is an integer number (4898124).

Almost surely, 2247593472 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 247593472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

247593472 is an abundant number, since it is smaller than the sum of its proper divisors (340181408).

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

247593472 is an equidigital number, since it uses as much as digits as its factorization.

247593472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The square root of 247593472 is about 15735.1031772912. The cubic root of 247593472 is about 627.9326472454.

The spelling of 247593472 in words is "two hundred forty-seven million, five hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 139 142 196 224 256 278 284 392 448 497 512 556 568 784 896 973 994 1112 1136 1568 1792 1946 1988 2224 2272 3136 3479 3584 3892 3976 4448 4544 6272 6811 6958 7784 7952 8896 9088 9869 12544 13622 13916 15568 15904 17792 18176 19738 25088 27244 27832 31136 31808 35584 36352 39476 54488 55664 62272 63616 69083 71168 78952 108976 111328 124544 127232 138166 157904 217952 222656 249088 254464 276332 315808 435904 445312 483581 498176 552664 631616 871808 890624 967162 1105328 1263232 1743616 1781248 1934324 2210656 2526464 3487232 3868648 4421312 5052928 7737296 8842624 15474592 17685248 30949184 35370496 61898368 123796736 247593472