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206472948 = 223112532683
BaseRepresentation
bin11000100111010…
…00011011110100
3112101111220122020
430103220123310
5410324113243
632253233140
75054663643
oct1423503364
9471456566
10206472948
11a6604200
12591927b0
1333a12656
141d5c935a
15131d7283
hexc4e86f4

206472948 has 72 divisors (see below), whose sum is σ = 539741664. Its totient is φ = 61364160.

The previous prime is 206472911. The next prime is 206472979. The reversal of 206472948 is 849274602.

206472948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75615 + ... + 78297.

It is an arithmetic number, because the mean of its divisors is an integer number (7496412).

Almost surely, 2206472948 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 206472948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269870832).

206472948 is an abundant number, since it is smaller than the sum of its proper divisors (333268716).

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

206472948 is a wasteful number, since it uses less digits than its factorization.

206472948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2752 counting only the distinct ones).

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

The square root of 206472948 is about 14369.1665729088. The cubic root of 206472948 is about 591.0456874733.

The spelling of 206472948 in words is "two hundred six million, four hundred seventy-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 121 132 159 212 242 318 363 484 583 636 726 1166 1452 1749 2332 2683 3498 5366 6413 6996 8049 10732 12826 16098 19239 25652 29513 32196 38478 59026 76956 88539 118052 142199 177078 284398 324643 354156 426597 568796 649286 853194 973929 1298572 1564189 1706388 1947858 3128378 3895716 4692567 6256756 9385134 17206079 18770268 34412158 51618237 68824316 103236474 206472948