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58528001 = 721194449
BaseRepresentation
bin1101111101000…
…1000100000001
311002010112022202
43133101010001
5104440344001
65450242545
71310323400
oct337210401
9132115282
1058528001
1130045a54
1217726455
13c182c6c
147ab7637
15521196b
hex37d1101

58528001 has 6 divisors (see below), whose sum is σ = 68083650. Its totient is φ = 50166816.

The previous prime is 58527983. The next prime is 58528007. The reversal of 58528001 is 10082585.

It can be written as a sum of positive squares in only one way, i.e., 36663025 + 21864976 = 6055^2 + 4676^2 .

It is a de Polignac number, because none of the positive numbers 2k-58528001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58528007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 597176 + ... + 597273.

It is an arithmetic number, because the mean of its divisors is an integer number (11347275).

Almost surely, 258528001 is an apocalyptic number.

It is an amenable number.

58528001 is a deficient number, since it is larger than the sum of its proper divisors (9555649).

58528001 is a wasteful number, since it uses less digits than its factorization.

58528001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194463 (or 1194456 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 58528001 is about 7650.3595340350. The cubic root of 58528001 is about 388.2587306982.

The spelling of 58528001 in words is "fifty-eight million, five hundred twenty-eight thousand, one".

Divisors: 1 7 49 1194449 8361143 58528001