Search a number
-
+
206977248 = 2533239557
BaseRepresentation
bin11000101011000…
…11100011100000
3112102110112102000
430111203203200
5410441232443
632312124000
75062164132
oct1425434340
9472415360
10206977248
11a6919085
1259396600
1333b5b05a
141d6bb052
15132868d3
hexc5638e0

206977248 has 48 divisors (see below), whose sum is σ = 603686160. Its totient is φ = 68992128.

The previous prime is 206977247. The next prime is 206977273. The reversal of 206977248 is 842779602.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206977247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118915 + ... + 120642.

It is an arithmetic number, because the mean of its divisors is an integer number (12576795).

Almost surely, 2206977248 is an apocalyptic number.

It is an amenable number.

206977248 is an abundant number, since it is smaller than the sum of its proper divisors (396708912).

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

206977248 is a wasteful number, since it uses less digits than its factorization.

206977248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239576 (or 239562 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 206977248 is about 14386.7038615522. The cubic root of 206977248 is about 591.5264962227.

The spelling of 206977248 in words is "two hundred six million, nine hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 239557 479114 718671 958228 1437342 1916456 2156013 2874684 3832912 4312026 5749368 6468039 7665824 8624052 11498736 12936078 17248104 22997472 25872156 34496208 51744312 68992416 103488624 206977248