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4006289484 = 22368316553
BaseRepresentation
bin1110111011001011…
…0010000001001100
3101100012112121000000
43232302302001030
531201102230414
61501312404300
7201164620161
oct35662620114
911305477000
104006289484
11177649a64a
12939846690
134bb0143c2
142a0110068
15186ab8b09
hexeecb204c

4006289484 has 84 divisors (see below), whose sum is σ = 10638990936. Its totient is φ = 1319260608.

The previous prime is 4006289461. The next prime is 4006289509. The reversal of 4006289484 is 4849826004.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233752 + ... + 250304.

It is an arithmetic number, because the mean of its divisors is an integer number (126654654).

Almost surely, 24006289484 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 4006289484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319495468).

4006289484 is an abundant number, since it is smaller than the sum of its proper divisors (6632701452).

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

4006289484 is a wasteful number, since it uses less digits than its factorization.

4006289484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16658 (or 16641 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4006289484 is about 63295.2564099396. The cubic root of 4006289484 is about 1588.2326107406.

The spelling of 4006289484 in words is "four billion, six million, two hundred eighty-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 243 249 324 332 486 498 729 747 972 996 1458 1494 2241 2916 2988 4482 6723 8964 13446 16553 20169 26892 33106 40338 49659 60507 66212 80676 99318 121014 148977 198636 242028 297954 446931 595908 893862 1340793 1373899 1787724 2681586 2747798 4022379 4121697 5363172 5495596 8044758 8243394 12067137 12365091 16089516 16486788 24134274 24730182 37095273 48268548 49460364 74190546 111285819 148381092 222571638 333857457 445143276 667714914 1001572371 1335429828 2003144742 4006289484