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1053240552 = 2332713160751
BaseRepresentation
bin111110110001110…
…010110011101000
32201101212011102100
4332301302303220
54124112144202
6252302333400
735046253110
oct7661626350
92641764370
101053240552
114a0588241
1225488a260
1313a28b580
149dc4a040
15626eb41c
hex3ec72ce8

1053240552 has 96 divisors (see below), whose sum is σ = 3510823680. Its totient is φ = 277776000.

The previous prime is 1053240499. The next prime is 1053240563. The reversal of 1053240552 is 2550423501.

It is a happy number.

1053240552 is a `hidden beast` number, since 105 + 3 + 2 + 4 + 0 + 552 = 666.

It is a super-2 number, since 2×10532405522 = 2218631320754529408, 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 23 ways as a sum of consecutive naturals, for example, 73824 + ... + 86927.

It is an arithmetic number, because the mean of its divisors is an integer number (36571080).

Almost surely, 21053240552 is an apocalyptic number.

1053240552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1053240552 is an abundant number, since it is smaller than the sum of its proper divisors (2457583128).

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

1053240552 is a wasteful number, since it uses less digits than its factorization.

1053240552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160783 (or 160776 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1053240552 is about 32453.6677742285. The cubic root of 1053240552 is about 1017.4408973472.

The spelling of 1053240552 in words is "one billion, fifty-three million, two hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 160751 321502 482253 643004 964506 1125257 1286008 1446759 1929012 2089763 2250514 2893518 3375771 3858024 4179526 4501028 5787036 6269289 6751542 8359052 9002056 10127313 11574072 12538578 13503084 14628341 16718104 18807867 20254626 25077156 27006168 29256682 37615734 40509252 43885023 50154312 58513364 75231468 81018504 87770046 117026728 131655069 150462936 175540092 263310138 351080184 526620276 1053240552