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2831042424 = 233732411427
BaseRepresentation
bin1010100010111110…
…0100011101111000
321022022002212010010
42220233210131320
521244221324144
61144531021520
7130104315000
oct25057443570
97268085103
102831042424
111223060091
1267013a8a0
133616a8842
141cbdc5000
1511881c5b9
hexa8be4778

2831042424 has 128 divisors (see below), whose sum is σ = 8293824000. Its totient is φ = 804948480.

The previous prime is 2831042399. The next prime is 2831042443. The reversal of 2831042424 is 4242401382.

It is a junction number, because it is equal to n+sod(n) for n = 2831042391 and 2831042400.

It is a congruent number.

It is an unprimeable number.

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, 1983199 + ... + 1984625.

It is an arithmetic number, because the mean of its divisors is an integer number (64795500).

Almost surely, 22831042424 is an apocalyptic number.

2831042424 is a gapful number since it is divisible by the number (24) 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 2831042424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146912000).

2831042424 is an abundant number, since it is smaller than the sum of its proper divisors (5462781576).

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

2831042424 is a wasteful number, since it uses less digits than its factorization.

2831042424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2831042424 is about 53207.5410444798. The cubic root of 2831042424 is about 1414.6493113049.

The spelling of 2831042424 in words is "two billion, eight hundred thirty-one million, forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 241 294 343 392 482 588 686 723 964 1029 1176 1372 1427 1446 1687 1928 2058 2744 2854 2892 3374 4116 4281 5061 5708 5784 6748 8232 8562 9989 10122 11416 11809 13496 17124 19978 20244 23618 29967 34248 35427 39956 40488 47236 59934 69923 70854 79912 82663 94472 119868 139846 141708 165326 209769 239736 247989 279692 283416 330652 343907 419538 489461 495978 559384 661304 687814 839076 978922 991956 1031721 1375628 1468383 1678152 1957844 1983912 2063442 2407349 2751256 2936766 3915688 4126884 4814698 5873532 7222047 8253768 9629396 11747064 14444094 16851443 19258792 28888188 33702886 50554329 57776376 67405772 101108658 117960101 134811544 202217316 235920202 353880303 404434632 471840404 707760606 943680808 1415521212 2831042424