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85262832004 = 2272208572
BaseRepresentation
bin100111101101000001…
…1111001000110000100
322011002010001122021211
41033122003321012010
52344104241111004
6103100314221204
76105615054100
oct1173203710604
9264063048254
1085262832004
1133183711719
1214636424804
13806a5799ac
1441abad6900
152340541504
hex13da0f9184

85262832004 has 27 divisors (see below), whose sum is σ = 173579087493. Its totient is φ = 36539461728.

The previous prime is 85262831977. The next prime is 85262832007. The reversal of 85262832004 is 40023826258.

It is a happy number.

The square root of 85262832004 is 291998.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 83295732100 + 1967099904 = 288610^2 + 44352^2 .

It is not an unprimeable number, because it can be changed into a prime (85262832007) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 4077544 + ... + 4098400.

Almost surely, 285262832004 is an apocalyptic number.

85262832004 is the 291998-th square number.

It is an amenable number.

85262832004 is an abundant number, since it is smaller than the sum of its proper divisors (88316255489).

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

85262832004 is an frugal number, since it uses more digits than its factorization.

85262832004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41732 (or 20866 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 85262832004 in words is "eighty-five billion, two hundred sixty-two million, eight hundred thirty-two thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 20857 41714 83428 145999 291998 583996 1021993 2043986 4087972 435014449 870028898 1740057796 3045101143 6090202286 12180404572 21315708001 42631416002 85262832004