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2042145462 = 237297101709
BaseRepresentation
bin111100110111000…
…1010101010110110
312021022122201221010
41321232022222312
513140242123322
6534350133050
7101414643600
oct17156125266
95238581833
102042145462
11958813125
1248bab1186
132671125c6
1415530a170
15be43a20c
hex79b8aab6

2042145462 has 96 divisors (see below), whose sum is σ = 4854457440. Its totient is φ = 570931200.

The previous prime is 2042145449. The next prime is 2042145481. The reversal of 2042145462 is 2645412402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2879964 + ... + 2880672.

It is an arithmetic number, because the mean of its divisors is an integer number (50567265).

Almost surely, 22042145462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042145462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427228720).

2042145462 is an abundant number, since it is smaller than the sum of its proper divisors (2812311978).

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

2042145462 is a wasteful number, since it uses less digits than its factorization.

2042145462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2042145462 is about 45190.1035847452. The cubic root of 2042145462 is about 1268.7095955425.

Adding to 2042145462 its reverse (2645412402), we get a palindrome (4687557864).

The spelling of 2042145462 in words is "two billion, forty-two million, one hundred forty-five thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 49 97 98 101 147 194 202 291 294 303 582 606 679 707 709 1358 1414 1418 2037 2121 2127 4074 4242 4254 4753 4949 4963 9506 9797 9898 9926 14259 14847 14889 19594 28518 29391 29694 29778 34741 58782 68579 68773 69482 71609 104223 137158 137546 143218 205737 206319 208446 214827 411474 412638 429654 480053 481411 501263 960106 962822 1002526 1440159 1444233 1503789 2880318 2888466 3007578 3369877 3508841 6739754 6946073 7017682 10109631 10526523 13892146 20219262 20838219 21053046 41676438 48622511 97245022 145867533 291735066 340357577 680715154 1021072731 2042145462