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201281264 = 24312631543
BaseRepresentation
bin10111111111101…
…00111011110000
3112000202010222122
423333310323300
5403012000024
631550053412
74662601562
oct1377647360
9460663878
10201281264
11a3688658
12574aa268
1332915552
141ca37332
1512a0dd5e
hexbff4ef0

201281264 has 40 divisors (see below), whose sum is σ = 404355072. Its totient is φ = 96960960.

The previous prime is 201281251. The next prime is 201281281. The reversal of 201281264 is 462182102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129677 + ... + 131219.

Almost surely, 2201281264 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 201281264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202177536).

201281264 is an abundant number, since it is smaller than the sum of its proper divisors (203073808).

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

201281264 is a wasteful number, since it uses less digits than its factorization.

201281264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 201281264 is about 14187.3628275307. The cubic root of 201281264 is about 586.0497032162.

The spelling of 201281264 in words is "two hundred one million, two hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 124 248 263 496 526 1052 1543 2104 3086 4208 6172 8153 12344 16306 24688 32612 47833 65224 95666 130448 191332 382664 405809 765328 811618 1623236 3246472 6492944 12580079 25160158 50320316 100640632 201281264