Search a number
-
+
4813992 = 2334171923
BaseRepresentation
bin10010010111010010101000
3100001120120000
4102113102220
52213021432
6251103000
755626651
oct22272250
910046500
104813992
112798907
121741a60
13cc7221
148d4528
1565157c
hex4974a8

4813992 has 160 divisors (see below), whose sum is σ = 15681600. Its totient is φ = 1368576.

The previous prime is 4813961. The next prime is 4813997. The reversal of 4813992 is 2993184.

Added to its reverse (2993184) it gives a triangular number (7807176 = T3951).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime divisors (64).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4813997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209293 + ... + 209315.

It is an arithmetic number, because the mean of its divisors is an integer number (98010).

Almost surely, 24813992 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 4813992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840800).

4813992 is an abundant number, since it is smaller than the sum of its proper divisors (10867608).

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

4813992 is a wasteful number, since it uses less digits than its factorization.

4813992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 4813992 is about 2194.0811288555. The cubic root of 4813992 is about 168.8502811360.

Adding to 4813992 its reverse (2993184), we get a triangular number (7807176 = T3951).

The spelling of 4813992 in words is "four million, eight hundred thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 23 24 27 34 36 38 46 51 54 57 68 69 72 76 81 92 102 108 114 136 138 152 153 162 171 184 204 207 216 228 276 306 323 324 342 391 408 414 437 456 459 513 552 612 621 646 648 684 782 828 874 918 969 1026 1173 1224 1242 1292 1311 1368 1377 1539 1564 1656 1748 1836 1863 1938 2052 2346 2484 2584 2622 2754 2907 3078 3128 3496 3519 3672 3726 3876 3933 4104 4692 4968 5244 5508 5814 6156 7038 7429 7452 7752 7866 8721 9384 10488 10557 11016 11628 11799 12312 14076 14858 14904 15732 17442 21114 22287 23256 23598 26163 28152 29716 31464 31671 34884 35397 42228 44574 47196 52326 59432 63342 66861 69768 70794 84456 89148 94392 104652 126684 133722 141588 178296 200583 209304 253368 267444 283176 401166 534888 601749 802332 1203498 1604664 2406996 4813992