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200524128 = 2537298399
BaseRepresentation
bin10111111001111…
…00000101100000
3111222022200101120
423330330011200
5402313233003
631521532240
74653266310
oct1374740540
9458280346
10200524128
11a3210822
12571a4080
133270ba3c
141c8bb440
151290e853
hexbf3c160

200524128 has 48 divisors (see below), whose sum is σ = 601574400. Its totient is φ = 57292416.

The previous prime is 200524109. The next prime is 200524169. The reversal of 200524128 is 821425002.

200524128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 200524098 and 200524107.

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, 148528 + ... + 149871.

It is an arithmetic number, because the mean of its divisors is an integer number (12532800).

Almost surely, 2200524128 is an apocalyptic number.

200524128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

200524128 is an abundant number, since it is smaller than the sum of its proper divisors (401050272).

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

200524128 is a wasteful number, since it uses less digits than its factorization.

200524128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298419 (or 298411 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 200524128 is about 14160.6542221749. The cubic root of 200524128 is about 585.3139552267.

The spelling of 200524128 in words is "two hundred million, five hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 298399 596798 895197 1193596 1790394 2088793 2387192 3580788 4177586 4774384 6266379 7161576 8355172 9548768 12532758 14323152 16710344 25065516 28646304 33420688 50131032 66841376 100262064 200524128