Search a number
-
+
247163904 = 21032132063
BaseRepresentation
bin11101011101101…
…10110000000000
3122020002020010200
432232312300000
51001233221104
640305325200
76060600321
oct1656666000
9566066120
10247163904
11117576999
126a936800
133c28b840
1424b7c448
1516a73b39
hexebb6c00

247163904 has 132 divisors (see below), whose sum is σ = 768951456. Its totient is φ = 76013568.

The previous prime is 247163869. The next prime is 247163933. The reversal of 247163904 is 409361742.

It is a super-2 number, since 2×2471639042 = 122179990881042432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 118777 + ... + 120839.

Almost surely, 2247163904 is an apocalyptic number.

247163904 is a gapful number since it is divisible by the number (24) 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 247163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384475728).

247163904 is an abundant number, since it is smaller than the sum of its proper divisors (521787552).

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

247163904 is a wasteful number, since it uses less digits than its factorization.

247163904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 247163904 is about 15721.4472616232. The cubic root of 247163904 is about 627.5692882860.

The spelling of 247163904 in words is "two hundred forty-seven million, one hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2063 2304 2496 3072 3328 3744 4126 4608 4992 6189 6656 7488 8252 9216 9984 12378 13312 14976 16504 18567 19968 24756 26819 29952 33008 37134 39936 49512 53638 59904 66016 74268 80457 99024 107276 119808 132032 148536 160914 198048 214552 241371 264064 297072 321828 396096 429104 482742 528128 594144 643656 792192 858208 965484 1056256 1188288 1287312 1584384 1716416 1930968 2112512 2376576 2574624 3168768 3432832 3861936 4753152 5149248 6337536 6865664 7723872 9506304 10298496 13731328 15447744 19012608 20596992 27462656 30895488 41193984 61790976 82387968 123581952 247163904