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1014983382 = 2371910711887
BaseRepresentation
bin111100011111110…
…110101011010110
32121201212111110010
4330133312223112
54034313432012
6244414341050
734103134140
oct7437665326
92551774403
101014983382
11480a28046
12243aba786
131323850aa
1498b2bc90
155e190c3c
hex3c7f6ad6

1014983382 has 64 divisors (see below), whose sum is σ = 2465095680. Its totient is φ = 272141856.

The previous prime is 1014983357. The next prime is 1014983407. The reversal of 1014983382 is 2833894101.

It is an interprime number because it is at equal distance from previous prime (1014983357) and next prime (1014983407).

It is a self number, because there is not a number n which added to its sum of digits gives 1014983382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79443 + ... + 91329.

It is an arithmetic number, because the mean of its divisors is an integer number (38517120).

Almost surely, 21014983382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014983382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232547840).

1014983382 is an abundant number, since it is smaller than the sum of its proper divisors (1450112298).

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

1014983382 is a wasteful number, since it uses less digits than its factorization.

1014983382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12025.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1014983382 is about 31858.8038381858. The cubic root of 1014983382 is about 1004.9697216194.

The spelling of 1014983382 in words is "one billion, fourteen million, nine hundred eighty-three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 107 114 133 214 266 321 399 642 749 798 1498 2033 2247 4066 4494 6099 11887 12198 14231 23774 28462 35661 42693 71322 83209 85386 166418 225853 249627 451706 499254 677559 1271909 1355118 1580971 2543818 3161942 3815727 4742913 7631454 8903363 9485826 17806726 24166271 26710089 48332542 53420178 72498813 144997626 169163897 338327794 507491691 1014983382