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2028608 = 26291093
BaseRepresentation
bin111101111010001000000
310211001201122
413233101000
51004403413
6111251412
723146211
oct7572100
93731648
102028608
11116613a
12819b68
1356047a
143ab408
152a1108
hex1ef440

2028608 has 28 divisors (see below), whose sum is σ = 4168140. Its totient is φ = 978432.

The previous prime is 2028601. The next prime is 2028617. The reversal of 2028608 is 8068202.

It can be written as a sum of positive squares in 2 ways, for example, as 1658944 + 369664 = 1288^2 + 608^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2028601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310 + ... + 2402.

22028608 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 2028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084070).

2028608 is an abundant number, since it is smaller than the sum of its proper divisors (2139532).

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

2028608 is a wasteful number, since it uses less digits than its factorization.

2028608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2028608 is about 1424.2921048717. The cubic root of 2028608 is about 126.5899936104.

The spelling of 2028608 in words is "two million, twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1093 1856 2186 4372 8744 17488 31697 34976 63394 69952 126788 253576 507152 1014304 2028608