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1053820482 = 2311137117299
BaseRepresentation
bin111110110100000…
…000011001000010
32201102221121221020
4332310000121002
54124234223412
6252323010310
735054216631
oct7664003102
92642847836
101053820482
114a0943a20
12254b09996
1313a432520
149dd5b518
15627b318c
hex3ed00642

1053820482 has 64 divisors (see below), whose sum is σ = 2511129600. Its totient is φ = 290606400.

The previous prime is 1053820451. The next prime is 1053820489. The reversal of 1053820482 is 2840283501.

It is a super-2 number, since 2×10538204822 = 2221075216565424648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1053820489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52269 + ... + 69567.

It is an arithmetic number, because the mean of its divisors is an integer number (39236400).

Almost surely, 21053820482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053820482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255564800).

1053820482 is an abundant number, since it is smaller than the sum of its proper divisors (1457309118).

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

1053820482 is a wasteful number, since it uses less digits than its factorization.

1053820482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17399.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1053820482 is about 32462.6012820907. The cubic root of 1053820482 is about 1017.6276024754.

The spelling of 1053820482 in words is "one billion, fifty-three million, eight hundred twenty thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 71 78 142 143 213 286 426 429 781 858 923 1562 1846 2343 2769 4686 5538 10153 17299 20306 30459 34598 51897 60918 103794 190289 224887 380578 449774 570867 674661 1141734 1228229 1349322 2456458 2473757 3684687 4947514 7369374 7421271 13510519 14842542 15966977 27021038 31933954 40531557 47900931 81063114 95801862 175636747 351273494 526910241 1053820482