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2049713028 = 2232116737691
BaseRepresentation
bin111101000101100…
…0010001110000100
312021211220012200100
41322023002032010
513144211304103
6535220244100
7101536162506
oct17213021604
95254805610
102049713028
11962011810
12492540630
13268861c5c
14156319d76
15bee325a3
hex7a2c2384

2049713028 has 72 divisors (see below), whose sum is σ = 5661373536. Its totient is φ = 620121600.

The previous prime is 2049713023. The next prime is 2049713051. The reversal of 2049713028 is 8203179402.

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

It is a junction number, because it is equal to n+sod(n) for n = 2049712983 and 2049713001.

It is not an unprimeable number, because it can be changed into a prime (2049713023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262663 + ... + 270353.

It is an arithmetic number, because the mean of its divisors is an integer number (78630188).

Almost surely, 22049713028 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 2049713028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830686768).

2049713028 is an abundant number, since it is smaller than the sum of its proper divisors (3611660508).

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

2049713028 is a wasteful number, since it uses less digits than its factorization.

2049713028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2049713028 is about 45273.7565041824. The cubic root of 2049713028 is about 1270.2748135323.

The spelling of 2049713028 in words is "two billion, forty-nine million, seven hundred thirteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 673 1346 2019 2692 4038 6057 7403 7691 8076 12114 14806 15382 22209 23073 24228 29612 30764 44418 46146 66627 69219 84601 88836 92292 133254 138438 169202 253803 266508 276876 338404 507606 761409 1015212 1522818 3045636 5176043 10352086 15528129 20704172 31056258 46584387 56936473 62112516 93168774 113872946 170809419 186337548 227745892 341618838 512428257 683237676 1024856514 2049713028