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2042902312 = 231137718837
BaseRepresentation
bin111100111000100…
…0011011100101000
312021101002012010121
41321301003130220
513140440333222
6534414253024
7101424245263
oct17161033450
95241065117
102042902312
1195918a820
124901b7174
13267318c49
14155465cda
15be5395c7
hex79c43728

2042902312 has 64 divisors (see below), whose sum is σ = 4352538240. Its totient is φ = 890668800.

The previous prime is 2042902289. The next prime is 2042902313. The reversal of 2042902312 is 2132092402.

It is a super-3 number, since 3×20429023123 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2042902313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226758 + ... + 235594.

It is an arithmetic number, because the mean of its divisors is an integer number (68008410).

Almost surely, 22042902312 is an apocalyptic number.

2042902312 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 2042902312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176269120).

2042902312 is an abundant number, since it is smaller than the sum of its proper divisors (2309635928).

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

2042902312 is a wasteful number, since it uses less digits than its factorization.

2042902312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2042902312 is about 45198.4768769922. The cubic root of 2042902312 is about 1268.8663105064.

Adding to 2042902312 its reverse (2132092402), we get a palindrome (4174994714).

It can be divided in two parts, 204290 and 2312, that added together give a palindrome (206602).

The spelling of 2042902312 in words is "two billion, forty-two million, nine hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 37 44 71 74 88 142 148 284 296 407 568 781 814 1562 1628 2627 3124 3256 5254 6248 8837 10508 17674 21016 28897 35348 57794 70696 97207 115588 194414 231176 326969 388828 627427 653938 777656 1254854 1307876 2509708 2615752 3596659 5019416 6901697 7193318 13803394 14386636 23214799 27606788 28773272 46429598 55213576 92859196 185718392 255362789 510725578 1021451156 2042902312