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2428846080 = 214359883
BaseRepresentation
bin1001000011000101…
…0100000000000000
320021021022011110020
42100301110000000
514433241033310
61041002333440
7114121564623
oct22061240000
96237264406
102428846080
111037025011
125794ba280
132c927863b
1419080bdba
15e3373170
hex90c54000

2428846080 has 120 divisors (see below), whose sum is σ = 7772856672. Its totient is φ = 647626752.

The previous prime is 2428846051. The next prime is 2428846087. The reversal of 2428846080 is 806488242.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428846087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240819 + ... + 250701.

Almost surely, 22428846080 is an apocalyptic number.

2428846080 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 2428846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886428336).

2428846080 is an abundant number, since it is smaller than the sum of its proper divisors (5344010592).

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

2428846080 is an frugal number, since it uses more digits than its factorization.

2428846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 2428846080 is about 49283.3245631826. The cubic root of 2428846080 is about 1344.2085844068.

The spelling of 2428846080 in words is "two billion, four hundred twenty-eight million, eight hundred forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 9883 10240 12288 15360 16384 19766 20480 24576 29649 30720 39532 40960 49152 49415 59298 61440 79064 81920 98830 118596 122880 148245 158128 197660 237192 245760 296490 316256 395320 474384 592980 632512 790640 948768 1185960 1265024 1581280 1897536 2371920 2530048 3162560 3795072 4743840 5060096 6325120 7590144 9487680 10120192 12650240 15180288 18975360 20240384 25300480 30360576 37950720 40480768 50600960 60721152 75901440 80961536 101201920 121442304 151802880 161923072 202403840 242884608 303605760 404807680 485769216 607211520 809615360 1214423040 2428846080