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200087472 = 243132911057
BaseRepresentation
bin10111110110100…
…01011110110000
3111221111111102010
423323101132300
5402210244342
631504322520
74646500254
oct1373213660
9457444363
10200087472
11a2a42752
1257013440
13325b8070
141c806264
151287529c
hexbed17b0

200087472 has 80 divisors (see below), whose sum is σ = 575900640. Its totient is φ = 59437056.

The previous prime is 200087431. The next prime is 200087473. The reversal of 200087472 is 274780002.

It is not an unprimeable number, because it can be changed into a prime (200087473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12568 + ... + 23624.

It is an arithmetic number, because the mean of its divisors is an integer number (7198758).

Almost surely, 2200087472 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 200087472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287950320).

200087472 is an abundant number, since it is smaller than the sum of its proper divisors (375813168).

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

200087472 is a wasteful number, since it uses less digits than its factorization.

200087472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11110 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 200087472 is about 14145.2278878779. The cubic root of 200087472 is about 584.8887917762. Note that the first 3 decimals are identical.

The spelling of 200087472 in words is "two hundred million, eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 11057 18096 22114 33171 44228 66342 88456 132684 143741 176912 265368 287482 320653 431223 530736 574964 641306 862446 961959 1149928 1282612 1724892 1923918 2299856 2565224 3449784 3847836 4168489 5130448 6899568 7695672 8336978 12505467 15391344 16673956 25010934 33347912 50021868 66695824 100043736 200087472