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5449680 = 24345292
BaseRepresentation
bin10100110010011111010000
3101020212120000
4110302133100
52343342210
6312450000
764215165
oct24623720
911225500
105449680
113092475
1219a9900
13118a682
14a1c06c
15729ac0
hex5327d0

5449680 has 150 divisors (see below), whose sum is σ = 19602726. Its totient is φ = 1403136.

The previous prime is 5449667. The next prime is 5449687. The reversal of 5449680 is 869445.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 4822416 = 792^2 + 2196^2 .

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

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5449687) 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 29 ways as a sum of consecutive naturals, for example, 187906 + ... + 187934.

Almost surely, 25449680 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 5449680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9801363).

5449680 is an abundant number, since it is smaller than the sum of its proper divisors (14153046).

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

5449680 is a wasteful number, since it uses less digits than its factorization.

5449680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5449680 is about 2334.4549685098. The cubic root of 5449680 is about 175.9774420124.

Multiplying 5449680 by its reverse (869445), we get a square (4738197027600 = 21767402).

The spelling of 5449680 in words is "five million, four hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 81 87 90 108 116 120 135 144 145 162 174 180 216 232 240 261 270 290 324 348 360 405 432 435 464 522 540 580 648 696 720 783 810 841 870 1044 1080 1160 1296 1305 1392 1566 1620 1682 1740 2088 2160 2320 2349 2523 2610 3132 3240 3364 3480 3915 4176 4205 4698 5046 5220 6264 6480 6728 6960 7569 7830 8410 9396 10092 10440 11745 12528 12615 13456 15138 15660 16820 18792 20184 20880 22707 23490 25230 30276 31320 33640 37584 37845 40368 45414 46980 50460 60552 62640 67280 68121 75690 90828 93960 100920 113535 121104 136242 151380 181656 187920 201840 227070 272484 302760 340605 363312 454140 544968 605520 681210 908280 1089936 1362420 1816560 2724840 5449680