Search a number
-
+
49302500 = 2254133741
BaseRepresentation
bin1011110000010…
…0101111100100
310102202211022112
42330010233210
5100110140000
64520420152
71136031032
oct274045744
9112684275
1049302500
1125914775
1214617658
13a2a2aa0
146795552
1544dd235
hex2f04be4

49302500 has 120 divisors (see below), whose sum is σ = 122154648. Its totient is φ = 17280000.

The previous prime is 49302479. The next prime is 49302503. The reversal of 49302500 is 520394.

49302500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 48330304 + 972196 = 6952^2 + 986^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49302503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1202480 + ... + 1202520.

Almost surely, 249302500 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 49302500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61077324).

49302500 is an abundant number, since it is smaller than the sum of its proper divisors (72852148).

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

49302500 is a wasteful number, since it uses less digits than its factorization.

49302500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 49302500 is about 7021.5738976386. The cubic root of 49302500 is about 366.6820471051.

Adding to 49302500 its reverse (520394), we get a palindrome (49822894).

It can be divided in two parts, 49 and 302500, that multiplied together give a square (14822500 = 38502).

The spelling of 49302500 in words is "forty-nine million, three hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 41 50 52 65 74 82 100 125 130 148 164 185 205 250 260 325 370 410 481 500 533 625 650 740 820 925 962 1025 1066 1250 1300 1517 1625 1850 1924 2050 2132 2405 2500 2665 3034 3250 3700 4100 4625 4810 5125 5330 6068 6500 7585 8125 9250 9620 10250 10660 12025 13325 15170 16250 18500 19721 20500 23125 24050 25625 26650 30340 32500 37925 39442 46250 48100 51250 53300 60125 66625 75850 78884 92500 98605 102500 120250 133250 151700 189625 197210 240500 266500 300625 333125 379250 394420 493025 601250 666250 758500 948125 986050 1202500 1332500 1896250 1972100 2465125 3792500 4930250 9860500 12325625 24651250 49302500