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200417928 = 233192112083
BaseRepresentation
bin10111111001000…
…10001010001000
3111222010021201020
423330202022020
5402301333203
631515352440
74652344554
oct1374421210
9458107636
10200417928
11a3148a57
1257152720
13326a25b9
141c890864
15128dd153
hexbf22288

200417928 has 64 divisors (see below), whose sum is σ = 530169600. Its totient is φ = 62959680.

The previous prime is 200417897. The next prime is 200417951. The reversal of 200417928 is 829714002.

It is a happy number.

200417928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95175 + ... + 97257.

It is an arithmetic number, because the mean of its divisors is an integer number (8283900).

Almost surely, 2200417928 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 200417928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265084800).

200417928 is an abundant number, since it is smaller than the sum of its proper divisors (329751672).

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

200417928 is a wasteful number, since it uses less digits than its factorization.

200417928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 200417928 is about 14156.9038988050. The cubic root of 200417928 is about 585.2106071999.

The spelling of 200417928 in words is "two hundred million, four hundred seventeen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 211 228 422 456 633 844 1266 1688 2083 2532 4009 4166 5064 6249 8018 8332 12027 12498 16036 16664 24054 24996 32072 39577 48108 49992 79154 96216 118731 158308 237462 316616 439513 474924 879026 949848 1318539 1758052 2637078 3516104 5274156 8350747 10548312 16701494 25052241 33402988 50104482 66805976 100208964 200417928