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5314482900 = 22365272901
BaseRepresentation
bin1001111001100010…
…01001001011010100
3111201101010201000000
410330301021023110
541341001423100
62235203451300
7245461234146
oct47461111324
914641121000
105314482900
112287983731
121043986b30
1366905a84c
14385b64c96
15211876900
hex13cc492d4

5314482900 has 126 divisors (see below), whose sum is σ = 17290969262. Its totient is φ = 1417176000.

The previous prime is 5314482893. The next prime is 5314482907. The reversal of 5314482900 is 92844135.

5314482900 is a `hidden beast` number, since 531 + 44 + 82 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5314482893) and next prime (5314482907).

It can be written as a sum of positive squares in 3 ways, for example, as 1894338576 + 3420144324 = 43524^2 + 58482^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314482907) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 36450 + ... + 109350.

Almost surely, 25314482900 is an apocalyptic number.

5314482900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a pronic number, being equal to 72900×72901.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5314482900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645484631).

5314482900 is an abundant number, since it is smaller than the sum of its proper divisors (11976486362).

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

5314482900 is a wasteful number, since it uses less digits than its factorization.

5314482900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72933 (or 72911 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5314482900 is about 72900.4999982853. The cubic root of 5314482900 is about 1745.1000782771.

The spelling of 5314482900 in words is "five billion, three hundred fourteen million, four hundred eighty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2430 2700 2916 3645 4050 4860 6075 7290 8100 12150 14580 18225 24300 36450 72900 72901 145802 218703 291604 364505 437406 656109 729010 874812 1093515 1312218 1458020 1822525 1968327 2187030 2624436 3280545 3645050 3936654 4374060 5467575 5904981 6561090 7290100 7873308 9841635 10935150 11809962 13122180 16402725 17714943 19683270 21870300 23619924 29524905 32805450 35429886 39366540 49208175 53144829 59049810 65610900 70859772 88574715 98416350 106289658 118099620 147624525 177149430 196832700 212579316 265724145 295249050 354298860 442873575 531448290 590498100 885747150 1062896580 1328620725 1771494300 2657241450 5314482900