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842242752 = 26331337493
BaseRepresentation
bin110010001100111…
…001101011000000
32011200211100212000
4302030321223000
53211103232002
6215324104000
726604642141
oct6214715300
92150740760
10842242752
113a247349a
121b6095000
131056534c0
147dc03ac8
154de1d61c
hex32339ac0

842242752 has 112 divisors (see below), whose sum is σ = 2666573280. Its totient is φ = 259144704.

The previous prime is 842242741. The next prime is 842242757. The reversal of 842242752 is 257242248.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (842242757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3718 + ... + 41210.

It is an arithmetic number, because the mean of its divisors is an integer number (23808690).

Almost surely, 2842242752 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 842242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333286640).

842242752 is an abundant number, since it is smaller than the sum of its proper divisors (1824330528).

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

842242752 is a wasteful number, since it uses less digits than its factorization.

842242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37527 (or 37511 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 842242752 is about 29021.4188488433. The cubic root of 842242752 is about 944.3777813811.

The spelling of 842242752 in words is "eight hundred forty-two million, two hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 37493 74986 112479 149972 224958 299944 337437 449916 487409 599888 674874 899832 974818 1012311 1199776 1349748 1462227 1799664 1949636 2024622 2399552 2699496 2924454 3599328 3899272 4049244 4386681 5398992 5848908 7198656 7798544 8098488 8773362 10797984 11697816 13160043 15597088 16196976 17546724 21595968 23395632 26320086 31194176 32393952 35093448 46791264 52640172 64787904 70186896 93582528 105280344 140373792 210560688 280747584 421121376 842242752