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2054122532 = 2272113532699
BaseRepresentation
bin111101001101111…
…0110110000100100
312022011012020101022
41322123312300210
513201323410112
6535454550312
7101621516300
oct17233666044
95264166338
102054122532
11964553730
12493b08398
13269747027
14156b46d00
15c0503d72
hex7a6f6c24

2054122532 has 72 divisors (see below), whose sum is σ = 4576370400. Its totient is φ = 797744640.

The previous prime is 2054122523. The next prime is 2054122561. The reversal of 2054122532 is 2352214502.

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, 759719 + ... + 762417.

It is an arithmetic number, because the mean of its divisors is an integer number (63560700).

Almost surely, 22054122532 is an apocalyptic number.

2054122532 is a gapful number since it is divisible by the number (22) 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 2054122532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288185200).

2054122532 is an abundant number, since it is smaller than the sum of its proper divisors (2522247868).

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

2054122532 is a wasteful number, since it uses less digits than its factorization.

2054122532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2054122532 is about 45322.4285757063. The cubic root of 2054122532 is about 1271.1850661626.

The spelling of 2054122532 in words is "two billion, fifty-four million, one hundred twenty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 353 539 706 1078 1412 2156 2471 2699 3883 4942 5398 7766 9884 10796 15532 17297 18893 27181 29689 34594 37786 54362 59378 69188 75572 108724 118756 132251 190267 207823 264502 380534 415646 529004 761068 831292 952747 1454761 1905494 2909522 3810988 5819044 6669229 10480217 13338458 20960434 26676916 41920868 46684603 73361519 93369206 146723038 186738412 293446076 513530633 1027061266 2054122532