Search a number
-
+
1053955872 = 253219132
BaseRepresentation
bin111110110100100…
…001011100100000
32201110012111122200
4332310201130200
54124303041442
6252325533200
735055322434
oct7664413440
92643174580
101053955872
114a0a26712
12254b74200
1313a47c038
149dd949c4
15627dd34c
hex3ed21720

1053955872 has 54 divisors (see below), whose sum is σ = 2998754577. Its totient is φ = 351134976.

The previous prime is 1053955853. The next prime is 1053955873. The reversal of 1053955872 is 2785593501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1053955872 is a `hidden beast` number, since 10 + 53 + 9 + 5 + 587 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 880664976 + 173290896 = 29676^2 + 13164^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22956.

It is a super-2 number, since 2×10539558722 = 2221645960246560768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053955873) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 549988 + ... + 551900.

Almost surely, 21053955872 is an apocalyptic number.

1053955872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1053955872 is an abundant number, since it is smaller than the sum of its proper divisors (1944798705).

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

1053955872 is an frugal number, since it uses more digits than its factorization.

1053955872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 1053955872 is about 32464.6865378368. The cubic root of 1053955872 is about 1017.6711806444.

The spelling of 1053955872 in words is "one billion, fifty-three million, nine hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1913 3826 5739 7652 11478 15304 17217 22956 30608 34434 45912 61216 68868 91824 137736 183648 275472 550944 3659569 7319138 10978707 14638276 21957414 29276552 32936121 43914828 58553104 65872242 87829656 117106208 131744484 175659312 263488968 351318624 526977936 1053955872