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2755038 = 231113319
BaseRepresentation
bin1010100000100111011110
312011222012110
422200213132
51201130123
6135014450
732263116
oct12404736
95158173
102755038
1116119a0
12b0a426
13756000
1451a046
15396493
hex2a09de

2755038 has 64 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 730080.

The previous prime is 2755033. The next prime is 2755043. The reversal of 2755038 is 8305572.

It is a happy number.

2755038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2755033) and next prime (2755043).

It is a junction number, because it is equal to n+sod(n) for n = 2754996 and 2755014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755031) 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 31 ways as a sum of consecutive naturals, for example, 144993 + ... + 145011.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

22755038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

2755038 is an abundant number, since it is smaller than the sum of its proper divisors (4099362).

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

2755038 is a wasteful number, since it uses less digits than its factorization.

2755038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2755038 is about 1659.8307142597. The cubic root of 2755038 is about 140.1874699408.

The spelling of 2755038 in words is "two million, seven hundred fifty-five thousand, thirty-eight".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 169 209 247 286 338 418 429 494 507 627 741 858 1014 1254 1482 1859 2197 2717 3211 3718 4394 5434 5577 6422 6591 8151 9633 11154 13182 16302 19266 24167 35321 41743 48334 70642 72501 83486 105963 125229 145002 211926 250458 459173 918346 1377519 2755038