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49457013200 = 2452722523317
BaseRepresentation
bin101110000011110111…
…100010000111010000
311201122202002120202122
4232003313202013100
51302241443410300
634415323233412
73400406450600
oct560367420720
9151582076678
1049457013200
1119a7a216031
129703078868
13488241676a
142572588c00
151446d89c85
hexb83de21d0

49457013200 has 90 divisors (see below), whose sum is σ = 138219790086. Its totient is φ = 16956683520.

The previous prime is 49457013181. The next prime is 49457013223. The reversal of 49457013200 is 231075494.

It can be written as a sum of positive squares in 3 ways, for example, as 15192041536 + 34264971664 = 123256^2 + 185108^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

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 17 ways as a sum of consecutive naturals, for example, 1242059 + ... + 1281258.

Almost surely, 249457013200 is an apocalyptic number.

49457013200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49457013200 is an abundant number, since it is smaller than the sum of its proper divisors (88762776886).

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

49457013200 is a wasteful number, since it uses less digits than its factorization.

49457013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523349 (or 2523331 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 49457013200 its reverse (231075494), we get a palindrome (49688088694).

The spelling of 49457013200 in words is "forty-nine billion, four hundred fifty-seven million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 2523317 5046634 10093268 12616585 17663219 20186536 25233170 35326438 40373072 50466340 63082925 70652876 88316095 100932680 123642533 126165850 141305752 176632190 201865360 247285066 252331700 282611504 353264380 441580475 494570132 504663400 618212665 706528760 883160950 989140264 1009326800 1236425330 1413057520 1766321900 1978280528 2472850660 3091063325 3532643800 4945701320 6182126650 7065287600 9891402640 12364253300 24728506600 49457013200