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2628936 = 23344057
BaseRepresentation
bin1010000001110101001000
311221120020000
422001311020
51133111221
6132203000
731226352
oct12016510
94846200
102628936
111536182
12a69460
137107ab
144c60d2
1536de26
hex281d48

2628936 has 40 divisors (see below), whose sum is σ = 7365270. Its totient is φ = 876096.

The previous prime is 2628919. The next prime is 2628953. The reversal of 2628936 is 6398262.

It is an interprime number because it is at equal distance from previous prime (2628919) and next prime (2628953).

It can be written as a sum of positive squares in only one way, i.e., 2232036 + 396900 = 1494^2 + 630^2 .

It is a super-2 number, since 2×26289362 = 13822608984192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 25 + 6 + 221 + 8 + 92 + 312 + 63 .

It is a self number, because there is not a number n which added to its sum of digits gives 2628936.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1381 + ... + 2676.

22628936 is an apocalyptic number.

It is an amenable number.

2628936 is an abundant number, since it is smaller than the sum of its proper divisors (4736334).

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

2628936 is a wasteful number, since it uses less digits than its factorization.

2628936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4062 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2628936 is about 1621.3993955840. The cubic root of 2628936 is about 138.0151212164.

The spelling of 2628936 in words is "two million, six hundred twenty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 4057 8114 12171 16228 24342 32456 36513 48684 73026 97368 109539 146052 219078 292104 328617 438156 657234 876312 1314468 2628936