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200949056 = 267113337
BaseRepresentation
bin10111111101000…
…11110101000000
3112000010021021122
423332203311000
5402420332211
631535011412
74660016210
oct1376436500
9460107248
10200949056
11a3481000
1257369b68
133282a289
141c98c240
15129956db
hexbfa3d40

200949056 has 112 divisors (see below), whose sum is σ = 502749312. Its totient is φ = 78059520.

The previous prime is 200949053. The next prime is 200949079. The reversal of 200949056 is 650949002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2009490562 = 80761046214582272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200949053) 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, 596120 + ... + 596456.

Almost surely, 2200949056 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 200949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251374656).

200949056 is an abundant number, since it is smaller than the sum of its proper divisors (301800256).

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

200949056 is an equidigital number, since it uses as much as digits as its factorization.

200949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 200949056 is about 14175.6501085488. The cubic root of 200949056 is about 585.7271071894.

The spelling of 200949056 in words is "two hundred million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 337 352 448 484 616 674 704 847 968 1232 1331 1348 1694 1936 2359 2464 2662 2696 3388 3707 3872 4718 4928 5324 5392 6776 7414 7744 9317 9436 10648 10784 13552 14828 18634 18872 21296 21568 25949 27104 29656 37268 37744 40777 42592 51898 54208 59312 74536 75488 81554 85184 103796 118624 149072 150976 163108 207592 237248 285439 298144 326216 415184 448547 570878 596288 652432 830368 897094 1141756 1304864 1660736 1794188 2283512 2609728 3139829 3588376 4567024 6279658 7176752 9134048 12559316 14353504 18268096 25118632 28707008 50237264 100474528 200949056