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206974248 = 233134611439
BaseRepresentation
bin11000101011000…
…10110100101000
3112102110101021220
430111202310220
5410441133443
632312102040
75062152315
oct1425426450
9472411256
10206974248
11a69168a8
1259394920
1333b59890
141d6b9d0c
1513285a83
hexc562d28

206974248 has 64 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 63502080.

The previous prime is 206974241. The next prime is 206974283. The reversal of 206974248 is 842479602.

It is not an unprimeable number, because it can be changed into a prime (206974241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143113 + ... + 144551.

It is an arithmetic number, because the mean of its divisors is an integer number (8731800).

Almost surely, 2206974248 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 206974248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

206974248 is an abundant number, since it is smaller than the sum of its proper divisors (351860952).

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

206974248 is a wasteful number, since it uses less digits than its factorization.

206974248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 206974248 is about 14386.5995982372. The cubic root of 206974248 is about 591.5236382789.

The spelling of 206974248 in words is "two hundred six million, nine hundred seventy-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 461 922 1383 1439 1844 2766 2878 3688 4317 5532 5756 5993 8634 11064 11512 11986 17268 17979 18707 23972 34536 35958 37414 47944 56121 71916 74828 112242 143832 149656 224484 448968 663379 1326758 1990137 2653516 3980274 5307032 7960548 8623927 15921096 17247854 25871781 34495708 51743562 68991416 103487124 206974248