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200492768 = 2571575701
BaseRepresentation
bin10111111001101…
…00011011100000
3111222021002101002
423330310123200
5402311232033
631521131132
74653106010
oct1374643340
9458232332
10200492768
11a319a203
1257189aa8
13326ca698
141c8adc40
15129053e8
hexbf346e0

200492768 has 48 divisors (see below), whose sum is σ = 454061664. Its totient is φ = 85363200.

The previous prime is 200492759. The next prime is 200492801. The reversal of 200492768 is 867294002.

200492768 is digitally balanced in base 3, 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 7 ways as a sum of consecutive naturals, for example, 32318 + ... + 38018.

It is an arithmetic number, because the mean of its divisors is an integer number (9459618).

Almost surely, 2200492768 is an apocalyptic number.

200492768 is a gapful number since it is divisible by the number (28) 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 200492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227030832).

200492768 is an abundant number, since it is smaller than the sum of its proper divisors (253568896).

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

200492768 is a wasteful number, since it uses less digits than its factorization.

200492768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 200492768 is about 14159.5468854056. The cubic root of 200492768 is about 585.2834411887.

The spelling of 200492768 in words is "two hundred million, four hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 628 1099 1256 2198 2512 4396 5024 5701 8792 11402 17584 22804 35168 39907 45608 79814 91216 159628 182432 319256 638512 895057 1277024 1790114 3580228 6265399 7160456 12530798 14320912 25061596 28641824 50123192 100246384 200492768