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4934949648 = 2431946711587
BaseRepresentation
bin1001001100010010…
…10101101100010000
3110201220222102020220
410212021111230100
540101321342043
62133405033040
7233202244206
oct44611255420
913656872226
104934949648
112102717792
12b58855780
13608533c65
1434b5ab076
151dd3a7483
hex126255b10

4934949648 has 80 divisors (see below), whose sum is σ = 13449496320. Its totient is φ = 1554933888.

The previous prime is 4934949647. The next prime is 4934949659. The reversal of 4934949648 is 8469494394.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4934949591 and 4934949600.

It is not an unprimeable number, because it can be changed into a prime (4934949647) 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 15 ways as a sum of consecutive naturals, for example, 420111 + ... + 431697.

It is an arithmetic number, because the mean of its divisors is an integer number (168118704).

Almost surely, 24934949648 is an apocalyptic number.

4934949648 is a gapful number since it is divisible by the number (48) 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 4934949648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724748160).

4934949648 is an abundant number, since it is smaller than the sum of its proper divisors (8514546672).

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

4934949648 is a wasteful number, since it uses less digits than its factorization.

4934949648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12078 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 60.

The square root of 4934949648 is about 70249.1967783262. The cubic root of 4934949648 is about 1702.5279170687.

The spelling of 4934949648 in words is "four billion, nine hundred thirty-four million, nine hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 467 912 934 1401 1868 2802 3736 5604 7472 8873 11208 11587 17746 22416 23174 26619 34761 35492 46348 53238 69522 70984 92696 106476 139044 141968 185392 212952 220153 278088 425904 440306 556176 660459 880612 1320918 1761224 2641836 3522448 5283672 5411129 10567344 10822258 16233387 21644516 32466774 43289032 64933548 86578064 102811451 129867096 205622902 259734192 308434353 411245804 616868706 822491608 1233737412 1644983216 2467474824 4934949648