Search a number
-
+
4863214392 = 2332329461659
BaseRepresentation
bin1001000011101111…
…01100001100111000
3110112220222212222120
410201313230030320
534424440330032
62122323321240
7231341432421
oct44167541470
913486885876
104863214392
112076180a53
12b38820220
135c670866a
14341c56648
151d6e3762c
hex121dec338

4863214392 has 128 divisors (see below), whose sum is σ = 13172544000. Its totient is φ = 1491607040.

The previous prime is 4863214381. The next prime is 4863214393. The reversal of 4863214392 is 2934123684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4863214393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7379359 + ... + 7380017.

It is an arithmetic number, because the mean of its divisors is an integer number (102910500).

Almost surely, 24863214392 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 4863214392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272000).

4863214392 is an abundant number, since it is smaller than the sum of its proper divisors (8309329608).

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

4863214392 is a wasteful number, since it uses less digits than its factorization.

4863214392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 4863214392 is about 69736.7506555905. The cubic root of 4863214392 is about 1694.2382090290.

The spelling of 4863214392 in words is "four billion, eight hundred sixty-three million, two hundred fourteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 461 552 659 667 696 922 1318 1334 1383 1844 1977 2001 2636 2668 2766 3688 3954 4002 5272 5336 5532 7908 8004 10603 11064 13369 15157 15816 16008 19111 21206 26738 30314 31809 38222 40107 42412 45471 53476 57333 60628 63618 76444 80214 84824 90942 106952 114666 121256 127236 152888 160428 181884 229332 254472 303799 307487 320856 363768 439553 458664 607598 614974 879106 911397 922461 1215196 1229948 1318659 1758212 1822794 1844922 2430392 2459896 2637318 3516424 3645588 3689844 5274636 6987377 7291176 7379688 8810171 10549272 13974754 17620342 20962131 26430513 27949508 35240684 41924262 52861026 55899016 70481368 83848524 105722052 167697048 202633933 211444104 405267866 607901799 810535732 1215803598 1621071464 2431607196 4863214392