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2426708256 = 253715792287
BaseRepresentation
bin1001000010100100…
…1010000100100000
320021010021112220120
42100221022010200
514432214131011
61040444440240
7114064452120
oct22051120440
96233245816
102426708256
1110358a4915
12578849080
132c89aa55b
14190412c80
15e309ea06
hex90a4a120

2426708256 has 96 divisors (see below), whose sum is σ = 7287920640. Its totient is φ = 692603136.

The previous prime is 2426708239. The next prime is 2426708261. The reversal of 2426708256 is 6528076242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1059945 + ... + 1062231.

It is an arithmetic number, because the mean of its divisors is an integer number (75915840).

Almost surely, 22426708256 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 2426708256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643960320).

2426708256 is an abundant number, since it is smaller than the sum of its proper divisors (4861212384).

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

2426708256 is a wasteful number, since it uses less digits than its factorization.

2426708256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2426708256 is about 49261.6306672851. The cubic root of 2426708256 is about 1343.8140863872.

The spelling of 2426708256 in words is "two billion, four hundred twenty-six million, seven hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1579 2287 3158 4574 4737 6316 6861 9148 9474 11053 12632 13722 16009 18296 18948 22106 25264 27444 32018 33159 36592 37896 44212 48027 50528 54888 64036 66318 73184 75792 88424 96054 109776 128072 132636 151584 176848 192108 219552 256144 265272 353696 384216 512288 530544 768432 1061088 1536864 3611173 7222346 10833519 14444692 21667038 25278211 28889384 43334076 50556422 57778768 75834633 86668152 101112844 115557536 151669266 173336304 202225688 303338532 346672608 404451376 606677064 808902752 1213354128 2426708256