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1053880832 = 295371547
BaseRepresentation
bin111110110100001…
…111001000000000
32201110001200201102
4332310033020000
54124243141312
6252324153532
735054560604
oct7664171000
92643050642
101053880832
114a09852a4
12254b388a8
1313a453b34
149dd75504
15627c5ec2
hex3ed0f200

1053880832 has 80 divisors (see below), whose sum is σ = 2179628352. Its totient is φ = 508784640.

The previous prime is 1053880819. The next prime is 1053880837. The reversal of 1053880832 is 2380883501.

It is a super-2 number, since 2×10538808322 = 2221329616114024448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053880837) 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 7 ways as a sum of consecutive naturals, for example, 1926383 + ... + 1926929.

Almost surely, 21053880832 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 1053880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089814176).

1053880832 is an abundant number, since it is smaller than the sum of its proper divisors (1125747520).

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

1053880832 is an frugal number, since it uses more digits than its factorization.

1053880832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 1053880832 is about 32463.5307999607. The cubic root of 1053880832 is about 1017.6470278755.

The spelling of 1053880832 in words is "one billion, fifty-three million, eight hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 71 106 128 142 212 256 284 424 512 547 568 848 1094 1136 1696 2188 2272 3392 3763 4376 4544 6784 7526 8752 9088 13568 15052 17504 18176 27136 28991 30104 35008 36352 38837 57982 60208 70016 77674 115964 120416 140032 155348 231928 240832 280064 310696 463856 481664 621392 927712 963328 1242784 1855424 1926656 2058361 2485568 3710848 4116722 4971136 7421696 8233444 9942272 14843392 16466888 19884544 32933776 65867552 131735104 263470208 526940416 1053880832