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1050053264 = 241322212273
BaseRepresentation
bin111110100101101…
…000101010010000
32201011212020021122
4332211220222100
54122303201024
6252110141412
735010206531
oct7645505220
92634766248
101050053264
11499800617
122537b1868
131397138c0
149d65a688
15622bbd5e
hex3e968a90

1050053264 has 40 divisors (see below), whose sum is σ = 2192927352. Its totient is φ = 484208640.

The previous prime is 1050053203. The next prime is 1050053269. The reversal of 1050053264 is 4623500501.

It can be written as a sum of positive squares in 4 ways, for example, as 252555664 + 797497600 = 15892^2 + 28240^2 .

It is a super-2 number, since 2×10500532642 = 2205223714474107392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1050053269) 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, 460832 + ... + 463104.

Almost surely, 21050053264 is an apocalyptic number.

It is an amenable number.

1050053264 is an abundant number, since it is smaller than the sum of its proper divisors (1142874088).

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

1050053264 is a wasteful number, since it uses less digits than its factorization.

1050053264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1050053264 is about 32404.5253629798. The cubic root of 1050053264 is about 1016.4135429800.

Adding to 1050053264 its reverse (4623500501), we get a palindrome (5673553765).

The spelling of 1050053264 in words is "one billion, fifty million, fifty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 2221 2273 4442 4546 8884 9092 17768 18184 28873 29549 35536 36368 57746 59098 115492 118196 230984 236392 461968 472784 5048333 10096666 20193332 40386664 65628329 80773328 131256658 262513316 525026632 1050053264