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4980395520 = 293251931367
BaseRepresentation
bin1001010001101101…
…01100111000000000
3110212002111022021100
410220312230320000
540144440124040
62142111054400
7234263443362
oct45066547000
913762438240
104980395520
112126337961
12b6bb11400
13614a864c9
1435363ad32
151e2382b30
hex128dace00

4980395520 has 480 divisors, whose sum is σ = 18793082880. Its totient is φ = 1214300160.

The previous prime is 4980395513. The next prime is 4980395527. The reversal of 4980395520 is 255930894.

4980395520 is a `hidden beast` number, since 4 + 98 + 0 + 3 + 9 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4980395513) and next prime (4980395527).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980395527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13570377 + ... + 13570743.

It is an arithmetic number, because the mean of its divisors is an integer number (39152256).

Almost surely, 24980395520 is an apocalyptic number.

4980395520 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 4980395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9396541440).

4980395520 is an abundant number, since it is smaller than the sum of its proper divisors (13812687360).

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

4980395520 is a wasteful number, since it uses less digits than its factorization.

4980395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 4980395520 is about 70571.9173609446. The cubic root of 4980395520 is about 1707.7381401046.

The spelling of 4980395520 in words is "four billion, nine hundred eighty million, three hundred ninety-five thousand, five hundred twenty".