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2649000380 = 2251343313757
BaseRepresentation
bin1001110111100100…
…1000100110111100
320211121120011101012
42131321020212330
520411121003010
61114505134352
7122434063115
oct23571104674
96747504335
102649000380
11113a323214
1261b18a3b8
13332a6b360
141b1b5920c
1510785e005
hex9de489bc

2649000380 has 96 divisors (see below), whose sum is σ = 6157846464. Its totient is φ = 951035904.

The previous prime is 2649000379. The next prime is 2649000383. The reversal of 2649000380 is 830009462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649000383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3498962 + ... + 3499718.

It is an arithmetic number, because the mean of its divisors is an integer number (64144234).

Almost surely, 22649000380 is an apocalyptic number.

2649000380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649000380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078923232).

2649000380 is an abundant number, since it is smaller than the sum of its proper divisors (3508846084).

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

2649000380 is a wasteful number, since it uses less digits than its factorization.

2649000380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2649000380 is about 51468.4406214138. The cubic root of 2649000380 is about 1383.6534815539.

The spelling of 2649000380 in words is "two billion, six hundred forty-nine million, three hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 313 430 559 626 757 860 1118 1252 1514 1565 2236 2795 3028 3130 3785 4069 5590 6260 7570 8138 9841 11180 13459 15140 16276 19682 20345 26918 32551 39364 40690 49205 53836 65102 67295 81380 98410 130204 134590 162755 174967 196820 236941 269180 325510 349934 423163 473882 651020 699868 846326 874835 947764 1184705 1692652 1749670 2115815 2369410 3080233 3499340 4231630 4738820 6160466 8463260 10188463 12320932 15401165 20376926 30802330 40753852 50942315 61604660 101884630 132450019 203769260 264900038 529800076 662250095 1324500190 2649000380