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1863476142 = 2311292274289
BaseRepresentation
bin110111100010010…
…0110001110101110
311210212110101200220
41233010212032232
512304022214032
6504524432210
764115200023
oct15704461656
94725411626
101863476142
1187697a230
124400a8666
132390b6308
141396bb54a
15ad8e612c
hex6f1263ae

1863476142 has 64 divisors (see below), whose sum is σ = 4225478400. Its totient is φ = 542689280.

The previous prime is 1863476137. The next prime is 1863476221. The reversal of 1863476142 is 2416743681.

It is a junction number, because it is equal to n+sod(n) for n = 1863476094 and 1863476103.

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, 432334 + ... + 436622.

It is an arithmetic number, because the mean of its divisors is an integer number (66023100).

Almost surely, 21863476142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1863476142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112739200).

1863476142 is an abundant number, since it is smaller than the sum of its proper divisors (2362002258).

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

1863476142 is a wasteful number, since it uses less digits than its factorization.

1863476142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561.

The product of its digits is 193536, while the sum is 42.

The square root of 1863476142 is about 43167.9990502224. Note that the first 3 decimals coincide. The cubic root of 1863476142 is about 1230.5745970241.

The spelling of 1863476142 in words is "one billion, eight hundred sixty-three million, four hundred seventy-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 227 319 454 638 681 957 1362 1914 2497 4289 4994 6583 7491 8578 12867 13166 14982 19749 25734 39498 47179 72413 94358 124381 141537 144826 217239 248762 283074 373143 434478 746286 973603 1368191 1947206 2736382 2920809 4104573 5841618 8209146 10709633 21419266 28234487 32128899 56468974 64257798 84703461 169406922 310579357 621158714 931738071 1863476142