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842124912 = 243412711579
BaseRepresentation
bin110010001100011…
…100111001110000
32011200121101012120
4302030130321300
53211040444122
6215321354240
726603641446
oct6214347160
92150541176
10842124912
113a23a2a02
121b6038980
13105611985
147dbb2b96
154dde875c
hex3231ce70

842124912 has 80 divisors (see below), whose sum is σ = 2238190080. Its totient is φ = 272678400.

The previous prime is 842124863. The next prime is 842124917. The reversal of 842124912 is 219421248.

It is a super-2 number, since 2×8421249122 = 1418348734822015488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842124917) 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, 532539 + ... + 534117.

It is an arithmetic number, because the mean of its divisors is an integer number (27977376).

Almost surely, 2842124912 is an apocalyptic number.

842124912 is a gapful number since it is divisible by the number (82) 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 842124912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119095040).

842124912 is an abundant number, since it is smaller than the sum of its proper divisors (1396065168).

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

842124912 is a wasteful number, since it uses less digits than its factorization.

842124912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1896 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 842124912 is about 29019.3885531725. The cubic root of 842124912 is about 944.3337360161. Note that the first 3 decimals are identical.

It can be divided in two parts, 8421 and 24912, that added together give a palindrome (33333).

The spelling of 842124912 in words is "eight hundred forty-two million, one hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 271 328 492 542 656 813 984 1084 1579 1626 1968 2168 3158 3252 4336 4737 6316 6504 9474 11111 12632 13008 18948 22222 25264 33333 37896 44444 64739 66666 75792 88888 129478 133332 177776 194217 258956 266664 388434 427909 517912 533328 776868 855818 1035824 1283727 1553736 1711636 2567454 3107472 3423272 5134908 6846544 10269816 17544269 20539632 35088538 52632807 70177076 105265614 140354152 210531228 280708304 421062456 842124912