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4940369280 = 273357114779
BaseRepresentation
bin1001001100111100…
…00000110110000000
3110202022011202121000
410212132000312000
540104213304110
62134121132000
7233266305660
oct44636006600
913668152530
104940369280
112105789620
12b5a62a000
136096b0a42
1434c1bc1a0
151ddac81c0
hex126780d80

4940369280 has 1024 divisors, whose sum is σ = 22560768000. Its totient is φ = 992010240.

The previous prime is 4940369257. The next prime is 4940369293. The reversal of 4940369280 is 829630494.

4940369280 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 369 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62536281 + ... + 62536359.

It is an arithmetic number, because the mean of its divisors is an integer number (22032000).

Almost surely, 24940369280 is an apocalyptic number.

4940369280 is a gapful number since it is divisible by the number (40) 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 4940369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280384000).

4940369280 is an abundant number, since it is smaller than the sum of its proper divisors (17620398720).

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

4940369280 is a wasteful number, since it uses less digits than its factorization.

4940369280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4940369280 is about 70287.7605277050. The cubic root of 4940369280 is about 1703.1509358584.

The spelling of 4940369280 in words is "four billion, nine hundred forty million, three hundred sixty-nine thousand, two hundred eighty".