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4948352640 = 273357113719
BaseRepresentation
bin1001001101111000…
…11101111010000000
3110202212012100201000
410212330131322000
540113234241030
62135004212000
7233424206040
oct44674357200
913685170630
104948352640
11210a241640
12b6123a000
1360b24771a
1434d299720
151de653860
hex126f1de80

4948352640 has 512 divisors, whose sum is σ = 21855744000. Its totient is φ = 1027952640.

The previous prime is 4948352611. The next prime is 4948352659. The reversal of 4948352640 is 462538494.

4948352640 is a `hidden beast` number, since 4 + 9 + 4 + 83 + 526 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1328701 + ... + 1332419.

It is an arithmetic number, because the mean of its divisors is an integer number (42687000).

Almost surely, 24948352640 is an apocalyptic number.

4948352640 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 4948352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927872000).

4948352640 is an abundant number, since it is smaller than the sum of its proper divisors (16907391360).

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

4948352640 is a wasteful number, since it uses less digits than its factorization.

4948352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4948352640 is about 70344.5281454073. The cubic root of 4948352640 is about 1704.0678409808.

The spelling of 4948352640 in words is "four billion, nine hundred forty-eight million, three hundred fifty-two thousand, six hundred forty".