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842130872 = 2311311971567
BaseRepresentation
bin110010001100011…
…110010110111000
32011200121200101022
4302030132112320
53211041141442
6215321442012
726603665022
oct6214362670
92150550338
10842130872
113a23a7430
121b6040308
131056145bb
147dbb5012
154ddea3d2
hex3231e5b8

842130872 has 64 divisors (see below), whose sum is σ = 1788272640. Its totient is φ = 368323200.

The previous prime is 842130871. The next prime is 842130881. The reversal of 842130872 is 278031248.

842130872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842130871) 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, 536633 + ... + 538199.

It is an arithmetic number, because the mean of its divisors is an integer number (27941760).

Almost surely, 2842130872 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 842130872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

842130872 is an abundant number, since it is smaller than the sum of its proper divisors (946141768).

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

842130872 is a wasteful number, since it uses less digits than its factorization.

842130872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 842130872 is about 29019.4912429560. The cubic root of 842130872 is about 944.3359637996.

It can be divided in two parts, 8421 and 30872, that added together give a palindrome (39293).

The spelling of 842130872 in words is "eight hundred forty-two million, one hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 197 248 341 394 682 788 1364 1567 1576 2167 2728 3134 4334 6107 6268 8668 12214 12536 17237 17336 24428 34474 48577 48856 67177 68948 97154 134354 137896 194308 268708 308699 388616 534347 537416 617398 1068694 1234796 2137388 2469592 3395689 4274776 6791378 9569669 13582756 19139338 27165512 38278676 76557352 105266359 210532718 421065436 842130872