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4664882484 = 22321797179439
BaseRepresentation
bin1000101100000110…
…00111010100110100
3110001002210120202100
410112003013110310
534023202214414
62050520342100
7223412563323
oct42603072464
913032716670
104664882484
111a84228289
12aa2314930
135945b66c2
1432378a0ba
151c480c609
hex1160c7534

4664882484 has 144 divisors (see below), whose sum is σ = 12713500800. Its totient is φ = 1437032448.

The previous prime is 4664882473. The next prime is 4664882539. The reversal of 4664882484 is 4842884664.

4664882484 is a `hidden beast` number, since 4 + 66 + 488 + 24 + 84 = 666.

It is a super-2 number, since 2×46648824842 = 43522257179060020512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4664882484.

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, 10625937 + ... + 10626375.

It is an arithmetic number, because the mean of its divisors is an integer number (88288200).

Almost surely, 24664882484 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 4664882484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356750400).

4664882484 is an abundant number, since it is smaller than the sum of its proper divisors (8048618316).

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

4664882484 is a wasteful number, since it uses less digits than its factorization.

4664882484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 737 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The square root of 4664882484 is about 68299.9449780159. The cubic root of 4664882484 is about 1670.8863169063.

The spelling of 4664882484 in words is "four billion, six hundred sixty-four million, eight hundred eighty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 153 179 194 204 291 306 358 388 439 537 582 612 716 873 878 1074 1164 1317 1611 1649 1746 1756 2148 2634 3043 3222 3298 3492 3951 4947 5268 6086 6444 6596 7463 7902 9129 9894 12172 14841 14926 15804 17363 18258 19788 22389 27387 29682 29852 34726 36516 42583 44778 52089 54774 59364 67167 69452 78581 85166 89556 104178 109548 127749 134334 156267 157162 170332 208356 235743 255498 268668 295171 312534 314324 383247 471486 510996 590342 625068 707229 723911 766494 885513 942972 1180684 1335877 1414458 1447822 1532988 1771026 2171733 2656539 2671754 2828916 2895644 3542052 4007631 4343466 5313078 5343508 6515199 7622357 8015262 8686932 10626156 12022893 13030398 15244714 16030524 22867071 24045786 26060796 30489428 45734142 48091572 68601213 91468284 129580069 137202426 259160138 274404852 388740207 518320276 777480414 1166220621 1554960828 2332441242 4664882484