Search a number
-
+
247464480 = 25351393709
BaseRepresentation
bin11101100000000…
…00001000100000
3122020122111110010
432300000020200
51001322330410
640320004520
76063261534
oct1660001040
9566574403
10247464480
111177617aa
126aa60740
133c3655b3
1424c19bc4
1516ad2c20
hexec00220

247464480 has 96 divisors (see below), whose sum is σ = 785332800. Its totient is φ = 65498112.

The previous prime is 247464421. The next prime is 247464523. The reversal of 247464480 is 84464742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2474644802 = 122477337723340800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64866 + ... + 68574.

It is an arithmetic number, because the mean of its divisors is an integer number (8180550).

Almost surely, 2247464480 is an apocalyptic number.

247464480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392666400).

247464480 is an abundant number, since it is smaller than the sum of its proper divisors (537868320).

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

247464480 is a wasteful number, since it uses less digits than its factorization.

247464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 247464480 is about 15731.0037823401. The cubic root of 247464480 is about 627.8235808826.

The spelling of 247464480 in words is "two hundred forty-seven million, four hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 417 480 556 695 834 1112 1390 1668 2085 2224 2780 3336 3709 4170 4448 5560 6672 7418 8340 11120 11127 13344 14836 16680 18545 22240 22254 29672 33360 37090 44508 55635 59344 66720 74180 89016 111270 118688 148360 178032 222540 296720 356064 445080 515551 593440 890160 1031102 1546653 1780320 2062204 2577755 3093306 4124408 5155510 6186612 7733265 8248816 10311020 12373224 15466530 16497632 20622040 24746448 30933060 41244080 49492896 61866120 82488160 123732240 247464480