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1064828496 = 243294791597
BaseRepresentation
bin111111011101111…
…111111001010000
32202012122220002110
4333131333321100
54140044002441
6253354545320
735246615154
oct7735777120
92665586073
101064828496
114a7082456
12258738240
1313c7b7b44
14a15c5064
1563739b16
hex3f77fe50

1064828496 has 80 divisors (see below), whose sum is σ = 2853388800. Its totient is φ = 341773824.

The previous prime is 1064828483. The next prime is 1064828549. The reversal of 1064828496 is 6948284601.

It is a super-3 number, since 3×10648284963 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665970 + ... + 667566.

It is an arithmetic number, because the mean of its divisors is an integer number (35667360).

Almost surely, 21064828496 is an apocalyptic number.

1064828496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064828496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426694400).

1064828496 is an abundant number, since it is smaller than the sum of its proper divisors (1788560304).

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

1064828496 is a wasteful number, since it uses less digits than its factorization.

1064828496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 1064828496 is about 32631.7099766469. The cubic root of 1064828496 is about 1021.1586525915.

The spelling of 1064828496 in words is "one billion, sixty-four million, eight hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 479 696 958 1392 1437 1597 1916 2874 3194 3832 4791 5748 6388 7664 9582 11496 12776 13891 19164 22992 25552 27782 38328 41673 46313 55564 76656 83346 92626 111128 138939 166692 185252 222256 277878 333384 370504 555756 666768 741008 764963 1111512 1529926 2223024 2294889 3059852 4589778 6119704 9179556 12239408 18359112 22183927 36718224 44367854 66551781 88735708 133103562 177471416 266207124 354942832 532414248 1064828496