Search a number
-
+
247041400 = 23524147641
BaseRepresentation
bin11101011100110…
…00110101111000
3122012212000002111
432232120311320
51001220311100
640302542104
76056550214
oct1656306570
9565760074
10247041400
111174a2951
126a897934
133c247b58
1424b49944
1516a4c6ba
hexeb98d78

247041400 has 96 divisors (see below), whose sum is σ = 601836480. Its totient is φ = 94208000.

The previous prime is 247041383. The next prime is 247041409. The reversal of 247041400 is 4140742.

247041400 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 2×2470414002 = 122058906627920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247041409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385080 + ... + 385720.

It is an arithmetic number, because the mean of its divisors is an integer number (6269130).

Almost surely, 2247041400 is an apocalyptic number.

247041400 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 247041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300918240).

247041400 is an abundant number, since it is smaller than the sum of its proper divisors (354795080).

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

247041400 is a wasteful number, since it uses less digits than its factorization.

247041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 247041400 is about 15717.5506997751. The cubic root of 247041400 is about 627.4655886062.

The spelling of 247041400 in words is "two hundred forty-seven million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 47 50 82 94 100 164 188 200 205 235 328 376 410 470 641 820 940 1025 1175 1282 1640 1880 1927 2050 2350 2564 3205 3854 4100 4700 5128 6410 7708 8200 9400 9635 12820 15416 16025 19270 25640 26281 30127 32050 38540 48175 52562 60254 64100 77080 96350 105124 120508 128200 131405 150635 192700 210248 241016 262810 301270 385400 525620 602540 657025 753175 1051240 1205080 1235207 1314050 1506350 2470414 2628100 3012700 4940828 5256200 6025400 6176035 9881656 12352070 24704140 30880175 49408280 61760350 123520700 247041400