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49983544900 = 22527922832
BaseRepresentation
bin101110100011010000…
…000101111001000100
311210000102212011110201
4232203100011321010
51304331241414100
634543452500244
73416432056462
oct564320057104
9153012764421
1049983544900
111a21a4540a3
12982b47a684
13493752ac93
1425c2489832
1514781e436a
hexba3405e44

49983544900 has 81 divisors (see below), whose sum is σ = 110244188061. Its totient is φ = 19670582880.

The previous prime is 49983544861. The next prime is 49983544901. The reversal of 49983544900 is 944538994.

The square root of 49983544900 is 223570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17994076164 + 31989468736 = 134142^2 + 178856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49983544901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 176620159 + ... + 176620441.

Almost surely, 249983544900 is an apocalyptic number.

49983544900 is the 223570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49983544900

49983544900 is an abundant number, since it is smaller than the sum of its proper divisors (60260643161).

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

49983544900 is an equidigital number, since it uses as much as digits as its factorization.

49983544900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 49983544900 in words is "forty-nine billion, nine hundred eighty-three million, five hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 283 316 395 566 790 1132 1415 1580 1975 2830 3950 5660 6241 7075 7900 12482 14150 22357 24964 28300 31205 44714 62410 80089 89428 111785 124820 156025 160178 223570 312050 320356 400445 447140 558925 624100 800890 1117850 1601780 1766203 2002225 2235700 3532406 4004450 6327031 7064812 8008900 8831015 12654062 17662030 25308124 31635155 35324060 44155075 63270310 88310150 126540620 158175775 176620300 316351550 499835449 632703100 999670898 1999341796 2499177245 4998354490 9996708980 12495886225 24991772450 49983544900