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1064857264 = 24296734253
BaseRepresentation
bin111111011110000…
…110111010110000
32202012201100112221
4333132012322300
54140100413024
6253355330424
735250065062
oct7736067260
92665640487
101064857264
114a70a2029
12258750a14
1313c7c7c73
14a15d1732
15637433e4
hex3f786eb0

1064857264 has 40 divisors (see below), whose sum is σ = 2166222960. Its totient is φ = 506381568.

The previous prime is 1064857253. The next prime is 1064857303. The reversal of 1064857264 is 4627584601.

It is a super-2 number, since 2×10648572642 = 2267841985387131392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1064857264.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13962 + ... + 48214.

It is an arithmetic number, because the mean of its divisors is an integer number (54155574).

Almost surely, 21064857264 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 1064857264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083111480).

1064857264 is an abundant number, since it is smaller than the sum of its proper divisors (1101365696).

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

1064857264 is a wasteful number, since it uses less digits than its factorization.

1064857264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34357 (or 34351 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 1064857264 is about 32632.1507718998. The cubic root of 1064857264 is about 1021.1678485724.

The spelling of 1064857264 in words is "one billion, sixty-four million, eight hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 67 116 134 232 268 464 536 1072 1943 3886 7772 15544 31088 34253 68506 137012 274024 548048 993337 1986674 2294951 3973348 4589902 7946696 9179804 15893392 18359608 36719216 66553579 133107158 266214316 532428632 1064857264