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1054113552 = 243223318271
BaseRepresentation
bin111110110101000…
…111111100010000
32201110111111221200
4332311013330100
54124323113202
6252333151200
735056550232
oct7665077420
92643444850
101054113552
114a1024128
1225502b500
1313a505a3b
149ddd6252
156281ee1c
hex3ed47f10

1054113552 has 60 divisors (see below), whose sum is σ = 3078326784. Its totient is φ = 336093120.

The previous prime is 1054113539. The next prime is 1054113569. The reversal of 1054113552 is 2553114501.

1054113552 is a `hidden beast` number, since 105 + 4 + 1 + 1 + 3 + 552 = 666.

It is a super-2 number, since 2×10541135522 = 2222310761020113408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155824 + ... + 162447.

Almost surely, 21054113552 is an apocalyptic number.

1054113552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054113552 is an abundant number, since it is smaller than the sum of its proper divisors (2024213232).

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

1054113552 is a wasteful number, since it uses less digits than its factorization.

1054113552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318308 (or 318299 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1054113552 is about 32467.1149318815. The cubic root of 1054113552 is about 1017.7219286230.

The spelling of 1054113552 in words is "one billion, fifty-four million, one hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 318271 636542 954813 1273084 1909626 2546168 2864439 3819252 5092336 5728878 7320233 7638504 11457756 14640466 15277008 21960699 22915512 29280932 43921398 45831024 58561864 65882097 87842796 117123728 131764194 175685592 263528388 351371184 527056776 1054113552