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200553504 = 2532398741
BaseRepresentation
bin10111111010000…
…11010000100000
3111222101011200120
423331003100200
5402320203004
631522320240
74653451044
oct1375032040
9458334616
10200553504
11a32308a8
12571b9080
133271c218
141c8c8024
15129183d9
hexbf43420

200553504 has 48 divisors (see below), whose sum is σ = 528716160. Its totient is φ = 66563840.

The previous prime is 200553503. The next prime is 200553517. The reversal of 200553504 is 405355002.

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 not an unprimeable number, because it can be changed into a prime (200553503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18574 + ... + 27314.

It is an arithmetic number, because the mean of its divisors is an integer number (11014920).

Almost surely, 2200553504 is an apocalyptic number.

200553504 is a gapful number since it is divisible by the number (24) 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 200553504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264358080).

200553504 is an abundant number, since it is smaller than the sum of its proper divisors (328162656).

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

200553504 is a wasteful number, since it uses less digits than its factorization.

200553504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 200553504 is about 14161.6914244027. The cubic root of 200553504 is about 585.3425358991.

The spelling of 200553504 in words is "two hundred million, five hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 8741 11472 17482 22944 26223 34964 52446 69928 104892 139856 209784 279712 419568 839136 2089099 4178198 6267297 8356396 12534594 16712792 25069188 33425584 50138376 66851168 100276752 200553504