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1005125442 = 231729339799
BaseRepresentation
bin111011111010001…
…111111101000010
32121001022122220020
4323322033331002
54024303003232
6243423154310
733623265606
oct7372177502
92531278806
101005125442
11476404692
12240745996
131303130a9
14976c3506
155d394e2c
hex3be8ff42

1005125442 has 32 divisors (see below), whose sum is σ = 2201904000. Its totient is φ = 304459008.

The previous prime is 1005125377. The next prime is 1005125449. The reversal of 1005125442 is 2445215001.

It is a super-3 number, since 3×10051254423 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005125449) 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, 166942 + ... + 172857.

It is an arithmetic number, because the mean of its divisors is an integer number (68809500).

Almost surely, 21005125442 is an apocalyptic number.

1005125442 is an abundant number, since it is smaller than the sum of its proper divisors (1196778558).

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

1005125442 is a wasteful number, since it uses less digits than its factorization.

1005125442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339850.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1005125442 is about 31703.7133787195. The cubic root of 1005125442 is about 1001.7055700437.

The spelling of 1005125442 in words is "one billion, five million, one hundred twenty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 17 29 34 51 58 87 102 174 493 986 1479 2958 339799 679598 1019397 2038794 5776583 9854171 11553166 17329749 19708342 29562513 34659498 59125026 167520907 335041814 502562721 1005125442