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1053820448 = 25315212039
BaseRepresentation
bin111110110100000…
…000011000100000
32201102221121212222
4332310000120200
54124234223243
6252323010212
735054216552
oct7664003040
92642847788
101053820448
114a094399a
12254b09968
1313a4324c5
149dd5b4d2
15627b3168
hex3ed00620

1053820448 has 48 divisors (see below), whose sum is σ = 2146798080. Its totient is φ = 508684800.

The previous prime is 1053820409. The next prime is 1053820451. The reversal of 1053820448 is 8440283501.

It is a super-2 number, since 2×10538204482 = 2221075073245841408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515813 + ... + 517851.

It is an arithmetic number, because the mean of its divisors is an integer number (44724960).

Almost surely, 21053820448 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 1053820448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073399040).

1053820448 is an abundant number, since it is smaller than the sum of its proper divisors (1092977632).

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

1053820448 is a wasteful number, since it uses less digits than its factorization.

1053820448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 1053820448 is about 32462.6007584112. The cubic root of 1053820448 is about 1017.6275915313.

The spelling of 1053820448 in words is "one billion, fifty-three million, eight hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 521 992 1042 2039 2084 4078 4168 8156 8336 16151 16312 16672 32302 32624 63209 64604 65248 126418 129208 252836 258416 505672 516832 1011344 1062319 2022688 2124638 4249276 8498552 16997104 32931889 33994208 65863778 131727556 263455112 526910224 1053820448