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1055055024 = 24336140037
BaseRepresentation
bin111110111000101…
…101110010110000
32201112021100102000
4332320231302300
54130043230044
6252405254000
735100551112
oct7670556260
92645240360
101055055024
114a1607501
12255404300
1313a77541a
14a019d3b2
1562958d69
hex3ee2dcb0

1055055024 has 80 divisors (see below), whose sum is σ = 3078121440. Its totient is φ = 345911040.

The previous prime is 1055055019. The next prime is 1055055031. The reversal of 1055055024 is 4205505501.

1055055024 is a `hidden beast` number, since 105 + 5 + 0 + 550 + 2 + 4 = 666.

It is a super-2 number, since 2×10550550242 = 2226282207335281152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 6334 + ... + 46370.

It is an arithmetic number, because the mean of its divisors is an integer number (38476518).

Almost surely, 21055055024 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 1055055024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539060720).

1055055024 is an abundant number, since it is smaller than the sum of its proper divisors (2023066416).

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

1055055024 is a wasteful number, since it uses less digits than its factorization.

1055055024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40115 (or 40103 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 1055055024 is about 32481.6105512027. The cubic root of 1055055024 is about 1018.0248281803.

The spelling of 1055055024 in words is "one billion, fifty-five million, fifty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 6588 8784 13176 26352 40037 80074 120111 160148 240222 320296 360333 480444 640592 720666 960888 1080999 1441332 1921776 2161998 2442257 2882664 4323996 4884514 5765328 7326771 8647992 9769028 14653542 17295984 19538056 21980313 29307084 39076112 43960626 58614168 65940939 87921252 117228336 131881878 175842504 263763756 351685008 527527512 1055055024