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4880808400 = 245213938617
BaseRepresentation
bin1001000101110101…
…10011100111010000
3110121011002202102111
410202322303213100
534443441332100
62124152355104
7231644121046
oct44272634720
913534082374
104880808400
1120850a8656
12b426a5a94
135ca258910
14344316396
151d87606ba
hex122eb39d0

4880808400 has 60 divisors (see below), whose sum is σ = 12628166572. Its totient is φ = 1802142720.

The previous prime is 4880808391. The next prime is 4880808421. The reversal of 4880808400 is 48080884.

It can be written as a sum of positive squares in 6 ways, for example, as 1471182736 + 3409625664 = 38356^2 + 58392^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464109 + ... + 474508.

Almost surely, 24880808400 is an apocalyptic number.

4880808400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4880808400 is an abundant number, since it is smaller than the sum of its proper divisors (7747358172).

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

4880808400 is a wasteful number, since it uses less digits than its factorization.

4880808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938648 (or 938637 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 4880808400 is about 69862.7826528546. The cubic root of 4880808400 is about 1696.2788734641.

The spelling of 4880808400 in words is "four billion, eight hundred eighty million, eight hundred eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 938617 1877234 3754468 4693085 7508936 9386170 12202021 15017872 18772340 23465425 24404042 37544680 46930850 48808084 61010105 75089360 93861700 97616168 122020210 187723400 195232336 244040420 305050525 375446800 488080840 610101050 976161680 1220202100 2440404200 4880808400