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200413024 = 2574320807
BaseRepresentation
bin10111111001000…
…00111101100000
3111222010000222121
423330200331200
5402301204044
631515314024
74652324350
oct1374407540
9458100877
10200413024
11a31452a9
125714b914
13326a02b6
141c88cb60
15128db984
hexbf20f60

200413024 has 48 divisors (see below), whose sum is σ = 461438208. Its totient is φ = 83889792.

The previous prime is 200413021. The next prime is 200413027. The reversal of 200413024 is 420314002.

200413024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200413021) and next prime (200413027).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200412989 and 200413007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200413021) 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, 772 + ... + 20035.

It is an arithmetic number, because the mean of its divisors is an integer number (9613296).

Almost surely, 2200413024 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 200413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230719104).

200413024 is an abundant number, since it is smaller than the sum of its proper divisors (261025184).

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

200413024 is a wasteful number, since it uses less digits than its factorization.

200413024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20867 (or 20859 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 200413024 is about 14156.7306960329. The cubic root of 200413024 is about 585.2058340138.

Adding to 200413024 its reverse (420314002), we get a palindrome (620727026).

The spelling of 200413024 in words is "two hundred million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 20807 41614 83228 145649 166456 291298 332912 582596 665824 894701 1165192 1789402 2330384 3578804 4660768 6262907 7157608 12525814 14315216 25051628 28630432 50103256 100206512 200413024