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5049057600 = 263252350629
BaseRepresentation
bin1001011001111001…
…01000000101000000
3111000212200200221100
410230330220011000
540320024320400
62153002454400
7236056165356
oct45474500500
914025620840
105049057600
112161074784
12b8ab04400
13626077062
1435c7d17d6
151e83e7100
hex12cf28140

5049057600 has 126 divisors (see below), whose sum is σ = 17945594030. Its totient is φ = 1346411520.

The previous prime is 5049057551. The next prime is 5049057617. The reversal of 5049057600 is 67509405.

5049057600 is a `hidden beast` number, since 5 + 0 + 49 + 0 + 5 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 144576576 + 4904481024 = 12024^2 + 70032^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 160915 + ... + 189714.

Almost surely, 25049057600 is an apocalyptic number.

5049057600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5049057600 is an abundant number, since it is smaller than the sum of its proper divisors (12896536430).

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

5049057600 is a wasteful number, since it uses less digits than its factorization.

5049057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350657 (or 350639 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5049057600 is about 71056.7210051238. The cubic root of 5049057600 is about 1715.5502431917.

The spelling of 5049057600 in words is "five billion, forty-nine million, fifty-seven thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 350629 701258 1051887 1402516 1753145 2103774 2805032 3155661 3506290 4207548 5259435 5610064 6311322 7012580 8415096 8765725 10518870 11220128 12622644 14025160 15778305 16830192 17531450 21037740 22440256 25245288 26297175 28050320 31556610 33660384 35062900 42075480 50490576 52594350 56100640 63113220 67320768 70125800 78891525 84150960 100981152 105188700 112201280 126226440 140251600 157783050 168301920 201962304 210377400 252452880 280503200 315566100 336603840 420754800 504905760 561006400 631132200 841509600 1009811520 1262264400 1683019200 2524528800 5049057600