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1053483264 = 2832457241
BaseRepresentation
bin111110110010101…
…110000100000000
32201102022111100200
4332302232010000
54124142431024
6252311445200
735051313531
oct7662560400
92642274320
101053483264
114a0733629
12254986800
1313a344ba2
149dcb0688
15627482c9
hex3ecae100

1053483264 has 54 divisors (see below), whose sum is σ = 3037458606. Its totient is φ = 351160320.

The previous prime is 1053483259. The next prime is 1053483269. The reversal of 1053483264 is 4623843501.

It is an interprime number because it is at equal distance from previous prime (1053483259) and next prime (1053483269).

It can be written as a sum of positive squares in only one way, i.e., 722534400 + 330948864 = 26880^2 + 18192^2 .

It is a super-2 number, since 2×10534832642 = 2219653975056187392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1053483269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226317 + ... + 230924.

Almost surely, 21053483264 is an apocalyptic number.

It is an amenable number.

1053483264 is an abundant number, since it is smaller than the sum of its proper divisors (1983975342).

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

1053483264 is an equidigital number, since it uses as much as digits as its factorization.

1053483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457263 (or 457246 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1053483264 is about 32457.4069204550. The cubic root of 1053483264 is about 1017.5190454170.

The spelling of 1053483264 in words is "one billion, fifty-three million, four hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 457241 914482 1371723 1828964 2743446 3657928 4115169 5486892 7315856 8230338 10973784 14631712 16460676 21947568 29263424 32921352 43895136 58526848 65842704 87790272 117053696 131685408 175580544 263370816 351161088 526741632 1053483264