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1053802304 = 2659733823
BaseRepresentation
bin111110110011111…
…011111101000000
32201102220200222222
4332303323331000
54124233133204
6252322350212
735054112632
oct7663737500
92642820888
101053802304
114a09312a5
12254abb368
1313a427179
149dd54a52
15627acabe
hex3ecfbf40

1053802304 has 56 divisors (see below), whose sum is σ = 2156277120. Its totient is φ = 510741504.

The previous prime is 1053802303. The next prime is 1053802361. The reversal of 1053802304 is 4032083501.

It is a super-2 number, since 2×10538023042 = 2220998591831416832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053802303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273737 + ... + 277559.

Almost surely, 21053802304 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 1053802304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078138560).

1053802304 is an abundant number, since it is smaller than the sum of its proper divisors (1102474816).

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

1053802304 is an equidigital number, since it uses as much as digits as its factorization.

1053802304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1053802304 is about 32462.3212971593. The cubic root of 1053802304 is about 1017.6217512129.

Adding to 1053802304 its reverse (4032083501), we get a palindrome (5085885805).

The spelling of 1053802304 in words is "one billion, fifty-three million, eight hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 59 64 73 118 146 236 292 472 584 944 1168 1888 2336 3776 3823 4307 4672 7646 8614 15292 17228 30584 34456 61168 68912 122336 137824 225557 244672 275648 279079 451114 558158 902228 1116316 1804456 2232632 3608912 4465264 7217824 8930528 14435648 16465661 17861056 32931322 65862644 131725288 263450576 526901152 1053802304