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4940328960 = 21232572547
BaseRepresentation
bin1001001100111011…
…10111000000000000
3110202022002201021200
410212131313000000
540104211011320
62134120221200
7233266050300
oct44635670000
913668081250
104940328960
1121057612a6
12b5a60a800
13609698598
1434c1ab600
151ddabb290
hex126777000

4940328960 has 468 divisors, whose sum is σ = 19956617928. Its totient is φ = 1127153664.

The previous prime is 4940328949. The next prime is 4940328973. The reversal of 4940328960 is 698230494.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9031407 + ... + 9031953.

It is an arithmetic number, because the mean of its divisors is an integer number (42642346).

Almost surely, 24940328960 is an apocalyptic number.

4940328960 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 4940328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978308964).

4940328960 is an abundant number, since it is smaller than the sum of its proper divisors (15016288968).

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

4940328960 is a wasteful number, since it uses less digits than its factorization.

4940328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 564 counting only the distinct ones).

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

The square root of 4940328960 is about 70287.4737062017. The cubic root of 4940328960 is about 1703.1463025184.

The spelling of 4940328960 in words is "four billion, nine hundred forty million, three hundred twenty-eight thousand, nine hundred sixty".