Search a number
-
+
2054241984 = 26321150707
BaseRepresentation
bin111101001110001…
…0011111011000000
312022011102022020110
41322130103323000
513201341220414
6535501311320
7101622524454
oct17234237300
95264368213
102054241984
11964625453
12493b65540
13269789502
14156b78664
15c0529459
hex7a713ec0

2054241984 has 56 divisors (see below), whose sum is σ = 5461048768. Its totient is φ = 681488640.

The previous prime is 2054241913. The next prime is 2054241989. The reversal of 2054241984 is 4891424502.

It is not an unprimeable number, because it can be changed into a prime (2054241989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15159 + ... + 65865.

It is an arithmetic number, because the mean of its divisors is an integer number (97518728).

Almost surely, 22054241984 is an apocalyptic number.

2054241984 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 2054241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730524384).

2054241984 is an abundant number, since it is smaller than the sum of its proper divisors (3406806784).

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

2054241984 is a wasteful number, since it uses less digits than its factorization.

2054241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50933 (or 50923 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2054241984 is about 45323.7463588349. The cubic root of 2054241984 is about 1271.2097064738.

It can be divided in two parts, 20542 and 41984, that added together give a palindrome (62526).

The spelling of 2054241984 in words is "two billion, fifty-four million, two hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 844 1266 1688 2532 3376 5064 6752 10128 13504 20256 40512 50707 101414 152121 202828 304242 405656 608484 811312 1216968 1622624 2433936 3245248 4867872 9735744 10699177 21398354 32097531 42796708 64195062 85593416 128390124 171186832 256780248 342373664 513560496 684747328 1027120992 2054241984