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4916095440 = 243523890597
BaseRepresentation
bin1001001010000010…
…11010100111010000
3110200121111112010220
410211001122213100
540032010023230
62131452553040
7232553056524
oct44501324720
913617445126
104916095440
1120a300a2a3
12b52482780
13604662219
14348c9dd84
151db8d0d10
hex12505a9d0

4916095440 has 80 divisors (see below), whose sum is σ = 15902517888. Its totient is φ = 1253959168.

The previous prime is 4916095369. The next prime is 4916095487. The reversal of 4916095440 is 445906194.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4916095392 and 4916095401.

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 15 ways as a sum of consecutive naturals, for example, 439779 + ... + 450818.

Almost surely, 24916095440 is an apocalyptic number.

4916095440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4916095440 is an abundant number, since it is smaller than the sum of its proper divisors (10986422448).

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

4916095440 is a wasteful number, since it uses less digits than its factorization.

4916095440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890636 (or 890630 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4916095440 is about 70114.8731725302. The cubic root of 4916095440 is about 1700.3569538792.

The spelling of 4916095440 in words is "four billion, nine hundred sixteen million, ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 890597 1781194 2671791 3562388 4452985 5343582 7124776 8905970 10687164 13358955 14249552 17811940 20483731 21374328 26717910 35623880 40967462 42748656 53435820 61451193 71247760 81934924 102418655 106871640 122902386 163869848 204837310 213743280 245804772 307255965 327739696 409674620 491609544 614511930 819349240 983219088 1229023860 1638698480 2458047720 4916095440