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1056005532 = 223323425123
BaseRepresentation
bin111110111100010…
…101110110011100
32201121001122021000
4332330111312130
54130314134112
6252441510300
735111620221
oct7674256634
92647048230
101056005532
114a20a664a
122557a2390
1313aa18c5a
14a0369948
1562a957dc
hex3ef15d9c

1056005532 has 48 divisors (see below), whose sum is σ = 2856833280. Its totient is φ = 336696624.

The previous prime is 1056005527. The next prime is 1056005537. The reversal of 1056005532 is 2355006501.

1056005532 is a `hidden beast` number, since 1 + 0 + 5 + 600 + 5 + 53 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1056005527) and next prime (1056005537).

It is a super-2 number, since 2×10560055322 = 2230295367229206048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1056005496 and 1056005505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056005537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210078 + ... + 215045.

It is an arithmetic number, because the mean of its divisors is an integer number (59517360).

Almost surely, 21056005532 is an apocalyptic number.

1056005532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1056005532 is an abundant number, since it is smaller than the sum of its proper divisors (1800827748).

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

1056005532 is a wasteful number, since it uses less digits than its factorization.

1056005532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425159 (or 425151 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1056005532 is about 32496.2387361984. The cubic root of 1056005532 is about 1018.3304521467.

The spelling of 1056005532 in words is "one billion, fifty-six million, five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 425123 850246 1275369 1700492 2550738 3826107 5101476 7652214 9777829 11478321 15304428 19555658 22956642 29333487 39111316 45913284 58666974 88000461 117333948 176000922 264001383 352001844 528002766 1056005532