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3821973144 = 2331116388817
BaseRepresentation
bin1110001111001110…
…1010111010011000
3100212100201100111220
43203303222322120
530311411120034
61431130052040
7163466143563
oct34363527230
910770640456
103821973144
111691449aa0
128a7b7a020
1348ba8b992
142838514da
1517580b749
hexe3ceae98

3821973144 has 64 divisors (see below), whose sum is σ = 10487629440. Its totient is φ = 1151055360.

The previous prime is 3821973143. The next prime is 3821973157. The reversal of 3821973144 is 4413791283.

It is a junction number, because it is equal to n+sod(n) for n = 3821973096 and 3821973105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3821973143) 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, 1377 + ... + 87440.

It is an arithmetic number, because the mean of its divisors is an integer number (163869210).

Almost surely, 23821973144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3821973144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243814720).

3821973144 is an abundant number, since it is smaller than the sum of its proper divisors (6665656296).

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

3821973144 is a wasteful number, since it uses less digits than its factorization.

3821973144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89000 (or 88996 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 3821973144 is about 61822.1088608275. The cubic root of 3821973144 is about 1563.4927690161.

The spelling of 3821973144 in words is "three billion, eight hundred twenty-one million, nine hundred seventy-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 163 264 326 489 652 978 1304 1793 1956 3586 3912 5379 7172 10758 14344 21516 43032 88817 177634 266451 355268 532902 710536 976987 1065804 1953974 2131608 2930961 3907948 5861922 7815896 11723844 14477171 23447688 28954342 43431513 57908684 86863026 115817368 159248881 173726052 318497762 347452104 477746643 636995524 955493286 1273991048 1910986572 3821973144