Search a number
-
+
49101300 = 22325289613
BaseRepresentation
bin1011101101001…
…1100111110100
310102101121022200
42323103213310
5100032220200
64512224500
71134232323
oct273234764
9112347280
1049101300
1125797596
121453b130
13a232331
1467420ba
15449d800
hex2ed39f4

49101300 has 108 divisors (see below), whose sum is σ = 155888460. Its totient is φ = 12925440.

The previous prime is 49101281. The next prime is 49101307. The reversal of 49101300 is 310194.

It can be written as a sum of positive squares in 6 ways, for example, as 19027044 + 30074256 = 4362^2 + 5484^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49101307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79794 + ... + 80406.

Almost surely, 249101300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77944230).

49101300 is an abundant number, since it is smaller than the sum of its proper divisors (106787160).

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

49101300 is a wasteful number, since it uses less digits than its factorization.

49101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 49101300 is about 7007.2319784634. The cubic root of 49101300 is about 366.1825659103.

Adding to 49101300 its reverse (310194), we get a palindrome (49411494).

The spelling of 49101300 in words is "forty-nine million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 89 90 100 150 178 180 225 267 300 356 445 450 534 613 801 890 900 1068 1226 1335 1602 1780 1839 2225 2452 2670 3065 3204 3678 4005 4450 5340 5517 6130 6675 7356 8010 8900 9195 11034 12260 13350 15325 16020 18390 20025 22068 26700 27585 30650 36780 40050 45975 54557 55170 61300 80100 91950 109114 110340 137925 163671 183900 218228 272785 275850 327342 491013 545570 551700 654684 818355 982026 1091140 1363925 1636710 1964052 2455065 2727850 3273420 4091775 4910130 5455700 8183550 9820260 12275325 16367100 24550650 49101300