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5525045200 = 2452294111617
BaseRepresentation
bin1010010010101000…
…10111111111010000
3112021001100101011201
411021110113333100
542303402421300
62312124520544
7253626052333
oct51124277720
915231311151
105525045200
112385820264
1210a23b0154
136a087261c
143a5ad661a
152250ba66a
hex149517fd0

5525045200 has 120 divisors (see below), whose sum is σ = 14067771480. Its totient is φ = 2081587200.

The previous prime is 5525045177. The next prime is 5525045219. The reversal of 5525045200 is 25405255.

It can be written as a sum of positive squares in 12 ways, for example, as 3302111296 + 2222933904 = 57464^2 + 47148^2 .

It is a super-2 number, since 2×55250452002 = 61052248924086080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469792 + ... + 481408.

It is an arithmetic number, because the mean of its divisors is an integer number (117231429).

Almost surely, 25525045200 is an apocalyptic number.

5525045200 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 5525045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033885740).

5525045200 is an abundant number, since it is smaller than the sum of its proper divisors (8542726280).

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

5525045200 is a wasteful number, since it uses less digits than its factorization.

5525045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 5525045200 is about 74330.6477840736. The cubic root of 5525045200 is about 1767.8494527940.

The spelling of 5525045200 in words is "five billion, five hundred twenty-five million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 41 50 58 80 82 100 116 145 164 200 205 232 290 328 400 410 464 580 656 725 820 1025 1160 1189 1450 1640 2050 2320 2378 2900 3280 4100 4756 5800 5945 8200 9512 11600 11617 11890 16400 19024 23234 23780 29725 46468 47560 58085 59450 92936 95120 116170 118900 185872 232340 237800 290425 336893 464680 475600 476297 580850 673786 929360 952594 1161700 1347572 1684465 1905188 2323400 2381485 2695144 3368930 3810376 4646800 4762970 5390288 6737860 7620752 8422325 9525940 11907425 13475720 13812613 16844650 19051880 23814850 26951440 27625226 33689300 38103760 47629700 55250452 67378600 69063065 95259400 110500904 134757200 138126130 190518800 221001808 276252260 345315325 552504520 690630650 1105009040 1381261300 2762522600 5525045200