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1063057408 = 2117292557
BaseRepresentation
bin111111010111001…
…111100000000000
32202002022220121121
4333113033200000
54134120314113
6253253002024
735225560510
oct7727174000
92662286547
101063057408
114a6082846
12258023314
1313c31796a
14a1283840
15634d9e8d
hex3f5cf800

1063057408 has 96 divisors (see below), whose sum is σ = 2514002400. Its totient is φ = 439713792.

The previous prime is 1063057381. The next prime is 1063057409. The reversal of 1063057408 is 8047503601.

1063057408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10630574082 = 2260182105407356928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063057409) 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, 414466 + ... + 417022.

It is an arithmetic number, because the mean of its divisors is an integer number (26187525).

Almost surely, 21063057408 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 1063057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257001200).

1063057408 is an abundant number, since it is smaller than the sum of its proper divisors (1450944992).

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

1063057408 is an equidigital number, since it uses as much as digits as its factorization.

1063057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1063057408 is about 32604.5611533111. The cubic root of 1063057408 is about 1020.5921872018.

The spelling of 1063057408 in words is "one billion, sixty-three million, fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 1024 1624 1792 1856 2048 2557 3248 3584 3712 5114 6496 7168 7424 10228 12992 14336 14848 17899 20456 25984 29696 35798 40912 51968 59392 71596 74153 81824 103936 143192 148306 163648 207872 286384 296612 327296 415744 519071 572768 593224 654592 1038142 1145536 1186448 1309184 2076284 2291072 2372896 2618368 4152568 4582144 4745792 5236736 8305136 9164288 9491584 16610272 18328576 18983168 33220544 36657152 37966336 66441088 75932672 132882176 151865344 265764352 531528704 1063057408