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58064896 = 217443
BaseRepresentation
bin1101110110000…
…0000000000000
311001021000001201
43131200000000
5104331034041
65432310544
71303354261
oct335400000
9131230051
1058064896
112a85a01a
1217542454
13c050236
1479d6968
15516e631
hex3760000

58064896 has 36 divisors (see below), whose sum is σ = 116391492. Its totient is φ = 28966912.

The previous prime is 58064861. The next prime is 58064899. The reversal of 58064896 is 69846085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58064899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130851 + ... + 131293.

It is an arithmetic number, because the mean of its divisors is an integer number (3233097).

Almost surely, 258064896 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 58064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58195746).

58064896 is an abundant number, since it is smaller than the sum of its proper divisors (58326596).

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

58064896 is an frugal number, since it uses more digits than its factorization.

58064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 58064896 is about 7620.0325458623. The cubic root of 58064896 is about 387.2319806019.

The spelling of 58064896 in words is "fifty-eight million, sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 443 512 886 1024 1772 2048 3544 4096 7088 8192 14176 16384 28352 32768 56704 65536 113408 131072 226816 453632 907264 1814528 3629056 7258112 14516224 29032448 58064896