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1063933248 = 2637978161
BaseRepresentation
bin111111011010100…
…101010101000000
32202010222102001010
4333122211111000
54134331330443
6253323440520
735236166130
oct7732452500
92663872033
101063933248
114a6620884
12258386140
1313c563501
14a1430ac0
156360e733
hex3f6a5540

1063933248 has 112 divisors (see below), whose sum is σ = 3250696064. Its totient is φ = 300810240.

The previous prime is 1063933201. The next prime is 1063933249. The reversal of 1063933248 is 8423393601.

1063933248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10639332482 = 2263907912399659008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063933249) 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, 126288 + ... + 134448.

It is an arithmetic number, because the mean of its divisors is an integer number (29024072).

Almost surely, 21063933248 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 1063933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625348032).

1063933248 is an abundant number, since it is smaller than the sum of its proper divisors (2186762816).

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

1063933248 is an equidigital number, since it uses as much as digits as its factorization.

1063933248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 1063933248 is about 32617.9896376218. The cubic root of 1063933248 is about 1020.8723947373.

The spelling of 1063933248 in words is "one billion, sixty-three million, nine hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 168 192 194 224 291 336 388 448 582 672 679 776 1164 1344 1358 1552 2037 2328 2716 3104 4074 4656 5432 6208 8148 8161 9312 10864 16296 16322 18624 21728 24483 32592 32644 43456 48966 57127 65184 65288 97932 114254 130368 130576 171381 195864 228508 261152 342762 391728 457016 522304 685524 783456 791617 914032 1371048 1566912 1583234 1828064 2374851 2742096 3166468 3656128 4749702 5484192 5541319 6332936 9499404 10968384 11082638 12665872 16623957 18998808 22165276 25331744 33247914 37997616 44330552 50663488 66495828 75995232 88661104 132991656 151990464 177322208 265983312 354644416 531966624 1063933248