Search a number
-
+
2050289904 = 2431331831277
BaseRepresentation
bin111101000110100…
…1111000011110000
312021212222112000010
41322031033003300
513144333234104
6535240454520
7101544114405
oct17215170360
95255875003
102050289904
11962376173
1249277a440
13268a046c0
1415642a2ac
15beee8489
hex7a34f0f0

2050289904 has 160 divisors (see below), whose sum is σ = 5963618304. Its totient is φ = 602680320.

The previous prime is 2050289903. The next prime is 2050289939. The reversal of 2050289904 is 4099820502.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050289903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1604914 + ... + 1606190.

Almost surely, 22050289904 is an apocalyptic number.

2050289904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050289904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981809152).

2050289904 is an abundant number, since it is smaller than the sum of its proper divisors (3913328400).

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

2050289904 is a wasteful number, since it uses less digits than its factorization.

2050289904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2050289904 is about 45280.1270316239. The cubic root of 2050289904 is about 1270.3939720532.

The spelling of 2050289904 in words is "two billion, fifty million, two hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 83 93 104 124 156 166 186 208 248 249 312 332 372 403 496 498 624 664 744 806 996 1079 1209 1277 1328 1488 1612 1992 2158 2418 2554 2573 3224 3237 3831 3984 4316 4836 5108 5146 6448 6474 7662 7719 8632 9672 10216 10292 12948 15324 15438 16601 17264 19344 20432 20584 25896 30648 30876 33202 33449 39587 41168 49803 51792 61296 61752 66404 66898 79174 99606 100347 105991 118761 123504 132808 133796 158348 199212 200694 211982 237522 265616 267592 316696 317973 398424 401388 423964 475044 514631 535184 633392 635946 796848 802776 847928 950088 1029262 1271892 1377883 1543893 1605552 1695856 1900176 2058524 2543784 2755766 3087786 3285721 4117048 4133649 5087568 5511532 6175572 6571442 8234096 8267298 9857163 11023064 12351144 13142884 16534596 19714326 22046128 24702288 26285768 33069192 39428652 42714373 52571536 66138384 78857304 85428746 128143119 157714608 170857492 256286238 341714984 512572476 683429968 1025144952 2050289904