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5245252200 = 233552107927
BaseRepresentation
bin1001110001010010…
…00011001001101000
3111112112212102100000
410320221003021220
541220241032300
62224251543000
7243660623316
oct47051031150
914475772300
105245252200
112251898681
12102475aa60
136578cb236
1437a8a30b6
1520a74dc00
hex138a43268

5245252200 has 144 divisors (see below), whose sum is σ = 18267893280. Its totient is φ = 1398720960.

The previous prime is 5245252151. The next prime is 5245252231. The reversal of 5245252200 is 22525425.

5245252200 is a `hidden beast` number, since 5 + 2 + 452 + 5 + 2 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 5364 + ... + 102563.

It is an arithmetic number, because the mean of its divisors is an integer number (126860370).

Almost surely, 25245252200 is an apocalyptic number.

5245252200 is a gapful number since it is divisible by the number (50) 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 5245252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133946640).

5245252200 is an abundant number, since it is smaller than the sum of its proper divisors (13022641080).

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

5245252200 is a wasteful number, since it uses less digits than its factorization.

5245252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107958 (or 107937 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5245252200 is about 72424.1133877385. The cubic root of 5245252200 is about 1737.4892444515.

Adding to 5245252200 its reverse (22525425), we get a palindrome (5267777625).

The spelling of 5245252200 in words is "five billion, two hundred forty-five million, two hundred fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 9720 12150 16200 24300 48600 107927 215854 323781 431708 539635 647562 863416 971343 1079270 1295124 1618905 1942686 2158540 2590248 2698175 2914029 3237810 3885372 4317080 4856715 5396350 5828058 6475620 7770744 8094525 8742087 9713430 10792700 11656116 12951240 14570145 16189050 17484174 19426860 21585400 23312232 24283575 26226261 29140290 32378100 34968348 38853720 43710435 48567150 52452522 58280580 64756200 69936696 72850725 87420870 97134300 104905044 116561160 131131305 145701450 174841740 194268600 209810088 218552175 262262610 291402900 349683480 437104350 524525220 582805800 655656525 874208700 1049050440 1311313050 1748417400 2622626100 5245252200