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5075184800 = 255272129469
BaseRepresentation
bin1001011101000000…
…10010110010100000
3111002200212002201102
410232200102302200
540343221403200
62155334453532
7236524234100
oct45640226240
914080762642
105075184800
11217489a504
12b978042a8
1362b5c433a
14362073200
151ea8586d5
hex12e812ca0

5075184800 has 108 divisors (see below), whose sum is σ = 14412729870. Its totient is φ = 1740049920.

The previous prime is 5075184799. The next prime is 5075184823. The reversal of 5075184800 is 84815705.

It can be written as a sum of positive squares in 3 ways, for example, as 2588367376 + 2486817424 = 50876^2 + 49868^2 .

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, 25535 + ... + 103934.

Almost surely, 25075184800 is an apocalyptic number.

5075184800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5075184800 is an abundant number, since it is smaller than the sum of its proper divisors (9337545070).

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

5075184800 is a wasteful number, since it uses less digits than its factorization.

5075184800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129503 (or 129483 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The square root of 5075184800 is about 71240.3312737946. The cubic root of 5075184800 is about 1718.5042883129.

The spelling of 5075184800 in words is "five billion, seventy-five million, one hundred eighty-four thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 350 392 400 490 560 700 784 800 980 1120 1225 1400 1568 1960 2450 2800 3920 4900 5600 7840 9800 19600 39200 129469 258938 517876 647345 906283 1035752 1294690 1812566 2071504 2589380 3236725 3625132 4143008 4531415 5178760 6343981 6473450 7250264 9062830 10357520 12687962 12946900 14500528 18125660 20715040 22657075 25375924 25893800 29001056 31719905 36251320 45314150 50751848 51787600 63439810 72502640 90628300 101503696 103575200 126879620 145005280 158599525 181256600 203007392 253759240 317199050 362513200 507518480 634398100 725026400 1015036960 1268796200 2537592400 5075184800