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2649422720 = 27571075527
BaseRepresentation
bin1001110111101010…
…1111101110000000
320211122100121201102
42131322233232000
520411223011340
61114522153532
7122440502330
oct23572575600
96748317642
102649422720
11113a59155a
1261b3528a8
13332b88669
141b1c290c0
151078e4215
hex9deafb80

2649422720 has 128 divisors (see below), whose sum is σ = 7307573760. Its totient is φ = 899721216.

The previous prime is 2649422717. The next prime is 2649422767. The reversal of 2649422720 is 272249462.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476597 + ... + 482123.

It is an arithmetic number, because the mean of its divisors is an integer number (57090420).

Almost surely, 22649422720 is an apocalyptic number.

2649422720 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 2649422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653786880).

2649422720 is an abundant number, since it is smaller than the sum of its proper divisors (4658151040).

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

2649422720 is a wasteful number, since it uses less digits than its factorization.

2649422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 2649422720 is about 51472.5433605141. The cubic root of 2649422720 is about 1383.7270113229.

The spelling of 2649422720 in words is "two billion, six hundred forty-nine million, four hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 107 112 128 140 160 214 224 280 320 428 448 535 560 640 749 856 896 1070 1120 1498 1712 2140 2240 2996 3424 3745 4280 4480 5527 5992 6848 7490 8560 11054 11984 13696 14980 17120 22108 23968 27635 29960 34240 38689 44216 47936 55270 59920 68480 77378 88432 95872 110540 119840 154756 176864 193445 221080 239680 309512 353728 386890 442160 479360 591389 619024 707456 773780 884320 1182778 1238048 1547560 1768640 2365556 2476096 2956945 3095120 3537280 4139723 4731112 4952192 5913890 6190240 8279446 9462224 11827780 12380480 16558892 18924448 20698615 23655560 24760960 33117784 37848896 41397230 47311120 66235568 75697792 82794460 94622240 132471136 165588920 189244480 264942272 331177840 378488960 529884544 662355680 1324711360 2649422720