Search a number
-
+
49804380 = 223252711021
BaseRepresentation
bin1011110111111…
…1010001011100
310110201022202200
42331333101130
5100222220010
64535251500
71143221163
oct275772134
9113638680
1049804380
112612784a
1214819b90
13a41a362
1468863da
15458bcc0
hex2f7f45c

49804380 has 72 divisors (see below), whose sum is σ = 151779264. Its totient is φ = 13219200.

The previous prime is 49804379. The next prime is 49804409. The reversal of 49804380 is 8340894.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 48270 + ... + 49290.

Almost surely, 249804380 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 49804380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75889632).

49804380 is an abundant number, since it is smaller than the sum of its proper divisors (101974884).

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

49804380 is a wasteful number, since it uses less digits than its factorization.

49804380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49804380 is about 7057.2218329878. The cubic root of 49804380 is about 367.9220751040.

The spelling of 49804380 in words is "forty-nine million, eight hundred four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 542 813 1021 1084 1355 1626 2042 2439 2710 3063 3252 4065 4084 4878 5105 5420 6126 8130 9189 9756 10210 12195 12252 15315 16260 18378 20420 24390 30630 36756 45945 48780 61260 91890 183780 276691 553382 830073 1106764 1383455 1660146 2490219 2766910 3320292 4150365 4980438 5533820 8300730 9960876 12451095 16601460 24902190 49804380