Search a number
-
+
49804890 = 235192329131
BaseRepresentation
bin1011110111111…
…1011001011010
310110201100110120
42331333121122
5100222224030
64535254110
71143222522
oct275773132
9113640416
1049804890
1126128173
121481a336
13a41a665
146886682
15458c010
hex2f7f65a

49804890 has 128 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 11531520.

The previous prime is 49804847. The next prime is 49804891. The reversal of 49804890 is 9840894.

It is not an unprimeable number, because it can be changed into a prime (49804891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380125 + ... + 380255.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 249804890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49804890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

49804890 is an abundant number, since it is smaller than the sum of its proper divisors (87052710).

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

49804890 is a wasteful number, since it uses less digits than its factorization.

49804890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 49804890 is about 7057.2579660942. The cubic root of 49804890 is about 367.9233309482.

It can be divided in two parts, 4980 and 4890, that added together give a triangular number (9870 = T140).

The spelling of 49804890 in words is "forty-nine million, eight hundred four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 23 29 30 38 46 57 58 69 87 95 114 115 131 138 145 174 190 230 262 285 290 345 393 435 437 551 570 655 667 690 786 870 874 1102 1310 1311 1334 1653 1965 2001 2185 2489 2622 2755 3013 3306 3335 3799 3930 4002 4370 4978 5510 6026 6555 6670 7467 7598 8265 9039 10005 11397 12445 12673 13110 14934 15065 16530 18078 18995 20010 22794 24890 25346 30130 37335 37990 38019 45195 56985 57247 63365 72181 74670 76038 87377 90390 113970 114494 126730 144362 171741 174754 190095 216543 262131 286235 343482 360905 380190 433086 436885 524262 572470 721810 858705 873770 1082715 1310655 1660163 1717410 2165430 2621310 3320326 4980489 8300815 9960978 16601630 24902445 49804890