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5000423442 = 23743111197
BaseRepresentation
bin1001010100000110…
…00110100000010010
3110220111011211102020
410222003012200102
540220102022232
62144104232310
7234625620000
oct45203064022
913814154366
105000423442
112136677163
12b7676b696
13618c79551
14356171a70
151e3edbe2c
hex12a0c6812

5000423442 has 80 divisors (see below), whose sum is σ = 12044389632. Its totient is φ = 1382482080.

The previous prime is 5000423413. The next prime is 5000423447. The reversal of 5000423442 is 2443240005.

It is not an unprimeable number, because it can be changed into a prime (5000423447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440988 + ... + 452184.

Almost surely, 25000423442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5000423442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022194816).

5000423442 is an abundant number, since it is smaller than the sum of its proper divisors (7043966190).

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

5000423442 is a wasteful number, since it uses less digits than its factorization.

5000423442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11261 (or 11240 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 5000423442 is about 70713.6722423606. The cubic root of 5000423442 is about 1710.0242170231.

Adding to 5000423442 its reverse (2443240005), we get a palindrome (7443663447).

The spelling of 5000423442 in words is "five billion, four hundred twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 343 434 651 686 1029 1302 1519 2058 2401 3038 4557 4802 7203 9114 10633 11197 14406 21266 22394 31899 33591 63798 67182 74431 78379 148862 156758 223293 235137 347107 446586 470274 548653 694214 1041321 1097306 1645959 2082642 2429749 3291918 3840571 4859498 7289247 7681142 11521713 14578494 17008243 23043426 26883997 34016486 51024729 53767994 80651991 102049458 119057701 161303982 238115402 357173103 714346206 833403907 1666807814 2500211721 5000423442