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2058048 = 2634397
BaseRepresentation
bin111110110011101000000
310212120010000
413312131000
51011324143
6112040000
723331066
oct7663500
93776100
102058048
111186273
12833000
135709a5
143b8036
152a9bd3
hex1f6740

2058048 has 70 divisors (see below), whose sum is σ = 6116066. Its totient is φ = 684288.

The previous prime is 2058047. The next prime is 2058103. The reversal of 2058048 is 8408502.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 186624 = 1368^2 + 432^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058041) 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 9 ways as a sum of consecutive naturals, for example, 4986 + ... + 5382.

22058048 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 2058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058033).

2058048 is an abundant number, since it is smaller than the sum of its proper divisors (4058018).

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

2058048 is an equidigital number, since it uses as much as digits as its factorization.

2058048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2058048 is about 1434.5898368523. The cubic root of 2058048 is about 127.1994303997.

The spelling of 2058048 in words is "two million, fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 397 432 576 648 794 864 1191 1296 1588 1728 2382 2592 3176 3573 4764 5184 6352 7146 9528 10719 12704 14292 19056 21438 25408 28584 32157 38112 42876 57168 64314 76224 85752 114336 128628 171504 228672 257256 343008 514512 686016 1029024 2058048