Search a number
-
+
49472200 = 23521947277
BaseRepresentation
bin1011110010111…
…0001011001000
310110002110002201
42330232023020
5100131102300
64524205544
71140335551
oct274561310
9113073081
1049472200
1125a20218
12146998b4
13a3320bb
1467db328
15452366a
hex2f2e2c8

49472200 has 96 divisors (see below), whose sum is σ = 124099200. Its totient is φ = 18282240.

The previous prime is 49472179. The next prime is 49472201. The reversal of 49472200 is 227494.

49472200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49472201) 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 23 ways as a sum of consecutive naturals, for example, 178462 + ... + 178738.

It is an arithmetic number, because the mean of its divisors is an integer number (1292700).

Almost surely, 249472200 is an apocalyptic number.

49472200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49472200 is the 3760-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62049600).

49472200 is an abundant number, since it is smaller than the sum of its proper divisors (74627000).

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

49472200 is a wasteful number, since it uses less digits than its factorization.

49472200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 49472200 is about 7033.6477022950. The cubic root of 49472200 is about 367.1022738371.

Adding to 49472200 its reverse (227494), we get a palindrome (49699694).

The spelling of 49472200 in words is "forty-nine million, four hundred seventy-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 47 50 76 94 95 100 152 188 190 200 235 277 376 380 470 475 554 760 893 940 950 1108 1175 1385 1786 1880 1900 2216 2350 2770 3572 3800 4465 4700 5263 5540 6925 7144 8930 9400 10526 11080 13019 13850 17860 21052 22325 26038 26315 27700 35720 42104 44650 52076 52630 55400 65095 89300 104152 105260 130190 131575 178600 210520 247361 260380 263150 325475 494722 520760 526300 650950 989444 1052600 1236805 1301900 1978888 2473610 2603800 4947220 6184025 9894440 12368050 24736100 49472200