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4723992 = 23327213103
BaseRepresentation
bin10010000001010100011000
322220000002200
4102001110120
52202131432
6245130200
755103400
oct22012430
98800080
104723992
112737229
1216b9960
13c95280
148ad800
15634a7c
hex481518

4723992 has 144 divisors (see below), whose sum is σ = 16183440. Its totient is φ = 1233792.

The previous prime is 4723987. The next prime is 4724047. The reversal of 4723992 is 2993274.

It is a super-2 number, since 2×47239922 = 44632200832128, which contains 22 as substring.

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.

It is a d-powerful number, because it can be written as 411 + 74 + 2 + 37 + 92 + 93 + 219 .

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45813 + ... + 45915.

It is an arithmetic number, because the mean of its divisors is an integer number (112385).

Almost surely, 24723992 is an apocalyptic number.

4723992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4723992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091720).

4723992 is an abundant number, since it is smaller than the sum of its proper divisors (11459448).

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

4723992 is a wasteful number, since it uses less digits than its factorization.

4723992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4723992 is about 2173.4746375332. The cubic root of 4723992 is about 167.7914077815.

The spelling of 4723992 in words is "four million, seven hundred twenty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 103 104 117 126 147 156 168 182 196 206 234 252 273 294 309 312 364 392 412 441 468 504 546 588 618 637 721 728 819 824 882 927 936 1092 1176 1236 1274 1339 1442 1638 1764 1854 1911 2163 2184 2472 2548 2678 2884 3276 3528 3708 3822 4017 4326 5047 5096 5356 5733 5768 6489 6552 7416 7644 8034 8652 9373 10094 10712 11466 12051 12978 15141 15288 16068 17304 18746 20188 22932 24102 25956 28119 30282 32136 37492 40376 45423 45864 48204 51912 56238 60564 65611 74984 84357 90846 96408 112476 121128 131222 168714 181692 196833 224952 262444 337428 363384 393666 524888 590499 674856 787332 1180998 1574664 2361996 4723992