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2042234796 = 223753647709
BaseRepresentation
bin111100110111010…
…0000011110101100
312021022211021110210
41321232200132230
513140303003141
6534352102420
7101415465210
oct17156403654
95238737423
102042234796
11958874258
1248bb34a10
13267144174
14155330940
15be456916
hex79ba07ac

2042234796 has 96 divisors (see below), whose sum is σ = 5565127680. Its totient is φ = 570795264.

The previous prime is 2042234773. The next prime is 2042234797. The reversal of 2042234796 is 6974322402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2042234797) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2880090 + ... + 2880798.

It is an arithmetic number, because the mean of its divisors is an integer number (57970080).

Almost surely, 22042234796 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 2042234796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782563840).

2042234796 is an abundant number, since it is smaller than the sum of its proper divisors (3522892884).

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

2042234796 is a wasteful number, since it uses less digits than its factorization.

2042234796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2042234796 is about 45191.0919983131. The cubic root of 2042234796 is about 1268.7280952449.

The spelling of 2042234796 in words is "two billion, forty-two million, two hundred thirty-four thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 647 709 742 1113 1294 1418 1484 1941 2127 2226 2588 2836 3882 4254 4452 4529 4963 7764 8508 9058 9926 13587 14889 18116 19852 27174 29778 34291 37577 54348 59556 68582 75154 102873 112731 137164 150308 205746 225462 240037 263039 411492 450924 458723 480074 526078 720111 789117 917446 960148 1052156 1376169 1440222 1578234 1834892 2752338 2880444 3156468 3211061 5504676 6422122 9633183 12844244 19266366 24312319 38532732 48624638 72936957 97249276 145873914 170186233 291747828 340372466 510558699 680744932 1021117398 2042234796