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2049138 = 234713139
BaseRepresentation
bin111110100010001110010
310212002220000
413310101302
51011033023
6111530430
723263110
oct7642162
93762800
102049138
11117a603
12829a16
13569910
143b4ab0
152a7243
hex1f4472

2049138 has 80 divisors (see below), whose sum is σ = 5691840. Its totient is φ = 536544.

The previous prime is 2049137. The next prime is 2049143. The reversal of 2049138 is 8319402.

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

It is not an unprimeable number, because it can be changed into a prime (2049137) 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 39 ways as a sum of consecutive naturals, for example, 14673 + ... + 14811.

It is an arithmetic number, because the mean of its divisors is an integer number (71148).

22049138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845920).

2049138 is an abundant number, since it is smaller than the sum of its proper divisors (3642702).

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

2049138 is a wasteful number, since it uses less digits than its factorization.

2049138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2049138 is about 1431.4810512193. The cubic root of 2049138 is about 127.0156014479.

It can be divided in two parts, 2049 and 138, that added together give a 7-th power (2187 = 37).

The spelling of 2049138 in words is "two million, forty-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 139 162 182 189 234 273 278 351 378 417 546 567 702 819 834 973 1053 1134 1251 1638 1807 1946 2106 2457 2502 2919 3614 3753 4914 5421 5838 7371 7506 8757 10842 11259 12649 14742 16263 17514 22518 25298 26271 32526 37947 48789 52542 75894 78813 97578 113841 146367 157626 227682 292734 341523 683046 1024569 2049138