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200748528 = 243219239307
BaseRepresentation
bin10111111011100…
…10110111110000
3111222202002012200
423331302313300
5402342423103
631530423200
74655222451
oct1375626760
9458662180
10200748528
11a3354382
1257291b00
1332789c16
141c939128
15129560a3
hexbf72df0

200748528 has 120 divisors (see below), whose sum is σ = 595795200. Its totient is φ = 62923392.

The previous prime is 200748517. The next prime is 200748533. The reversal of 200748528 is 825847002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200748492 and 200748501.

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, 653751 + ... + 654057.

It is an arithmetic number, because the mean of its divisors is an integer number (4964960).

Almost surely, 2200748528 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 200748528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297897600).

200748528 is an abundant number, since it is smaller than the sum of its proper divisors (395046672).

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

200748528 is a wasteful number, since it uses less digits than its factorization.

200748528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 200748528 is about 14168.5753694576. The cubic root of 200748528 is about 585.5322090746.

The spelling of 200748528 in words is "two hundred million, seven hundred forty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 239 304 307 342 456 478 614 684 717 912 921 956 1228 1368 1434 1842 1912 2151 2456 2736 2763 2868 3684 3824 4302 4541 4912 5526 5736 5833 7368 8604 9082 11052 11472 11666 13623 14736 17208 17499 18164 22104 23332 27246 34416 34998 36328 40869 44208 46664 52497 54492 69996 72656 73373 81738 93328 104994 108984 139992 146746 163476 209988 217968 220119 279984 293492 326952 419976 440238 586984 653904 660357 839952 880476 1173968 1320714 1394087 1760952 2641428 2788174 3521904 4182261 5282856 5576348 8364522 10565712 11152696 12546783 16729044 22305392 25093566 33458088 50187132 66916176 100374264 200748528