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200631048 = 233291132551
BaseRepresentation
bin10111111010101…
…10001100001000
3111222112010001120
423331112030020
5402330143143
631524115240
74654223112
oct1375261410
9458463046
10200631048
11a3284092
1257235b20
13327485c7
141c9083b2
1512931383
hexbf56308

200631048 has 64 divisors (see below), whose sum is σ = 523670400. Its totient is φ = 63974400.

The previous prime is 200631043. The next prime is 200631061. The reversal of 200631048 is 840136002.

It is a happy number.

200631048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (200631043) 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, 77373 + ... + 79923.

It is an arithmetic number, because the mean of its divisors is an integer number (8182350).

Almost surely, 2200631048 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 200631048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261835200).

200631048 is an abundant number, since it is smaller than the sum of its proper divisors (323039352).

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

200631048 is a wasteful number, since it uses less digits than its factorization.

200631048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 200631048 is about 14164.4289683700. The cubic root of 200631048 is about 585.4179670633.

The spelling of 200631048 in words is "two hundred million, six hundred thirty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 113 116 174 226 232 339 348 452 678 696 904 1356 2551 2712 3277 5102 6554 7653 9831 10204 13108 15306 19662 20408 26216 30612 39324 61224 73979 78648 147958 221937 288263 295916 443874 576526 591832 864789 887748 1153052 1729578 1775496 2306104 3459156 6918312 8359627 16719254 25078881 33438508 50157762 66877016 100315524 200631048