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4978274580 = 2234517532
BaseRepresentation
bin1001010001011101…
…00111000100010100
3110211221111112220000
410220232213010110
540143414241310
62141553411300
7234236431026
oct45056470424
913757445800
104978274580
112125119414
12b6b269b30
136144c3006
14353248016
151e20b44c0
hex128ba7114

4978274580 has 90 divisors (see below), whose sum is σ = 15625945566. Its totient is φ = 1326782592.

The previous prime is 4978274549. The next prime is 4978274603. The reversal of 4978274580 is 854728794.

It is a happy number.

4978274580 is a `hidden beast` number, since 497 + 8 + 2 + 74 + 5 + 80 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 419594256 + 4558680324 = 20484^2 + 67518^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2838984 + ... + 2840736.

Almost surely, 24978274580 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 4978274580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812972783).

4978274580 is an abundant number, since it is smaller than the sum of its proper divisors (10647670986).

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

4978274580 is an equidigital number, since it uses as much as digits as its factorization.

4978274580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4978274580 is about 70556.8889620284. Note that the first 3 decimals coincide. The cubic root of 4978274580 is about 1707.4956878474.

The spelling of 4978274580 in words is "four billion, nine hundred seventy-eight million, two hundred seventy-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1753 3506 5259 7012 8765 10518 15777 17530 21036 26295 31554 35060 47331 52590 63108 78885 94662 105180 141993 157770 189324 236655 283986 315540 473310 567972 709965 946620 1419930 2839860 3073009 6146018 9219027 12292036 15365045 18438054 27657081 30730090 36876108 46095135 55314162 61460180 82971243 92190270 110628324 138285405 165942486 184380540 248913729 276570810 331884972 414856215 497827458 553141620 829712430 995654916 1244568645 1659424860 2489137290 4978274580