Search a number
-
+
2950775696 = 241121997827
BaseRepresentation
bin1010111111100001…
…0100001110010000
321121122101221021202
42233320110032100
522020344310241
61204445210332
7133060115411
oct25770241620
97548357252
102950775696
1112846aa500
126a42609a8
1338043b22b
141ddc71808
151240bdd9b
hexafe14390

2950775696 has 120 divisors (see below), whose sum is σ = 6691134240. Its totient is φ = 1256048640.

The previous prime is 2950775693. The next prime is 2950775741. The reversal of 2950775696 is 6965770592.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2950775693) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3567635 + ... + 3568461.

It is an arithmetic number, because the mean of its divisors is an integer number (55759452).

Almost surely, 22950775696 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 2950775696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345567120).

2950775696 is an abundant number, since it is smaller than the sum of its proper divisors (3740358544).

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

2950775696 is a wasteful number, since it uses less digits than its factorization.

2950775696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 56.

The square root of 2950775696 is about 54321.0428471325. The cubic root of 2950775696 is about 1434.3178368886.

The spelling of 2950775696 in words is "two billion, nine hundred fifty million, seven hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 97 121 152 176 194 209 242 304 388 418 484 776 827 836 968 1067 1552 1654 1672 1843 1936 2134 2299 3308 3344 3686 4268 4598 6616 7372 8536 9097 9196 11737 13232 14744 15713 17072 18194 18392 20273 23474 29488 31426 36388 36784 40546 46948 62852 72776 80219 81092 93896 100067 125704 145552 160438 162184 172843 187792 200134 223003 251408 320876 324368 345686 400268 446006 641752 691372 800536 882409 892012 1283504 1382744 1524161 1601072 1764818 1784024 1901273 2765488 3048322 3529636 3568048 3802546 6096644 7059272 7605092 9706499 12193288 14118544 15210184 16765771 19412998 24386576 30420368 33531542 38825996 67063084 77651992 134126168 155303984 184423481 268252336 368846962 737693924 1475387848 2950775696