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4291392 = 263731103
BaseRepresentation
bin10000010111101101000000
322002000200110
4100113231000
52044311032
6231551320
751322230
oct20275500
98060613
104291392
112471206
12152b540
13b733b1
147d9cc0
1559b7cc
hex417b40

4291392 has 112 divisors (see below), whose sum is σ = 13524992. Its totient is φ = 1175040.

The previous prime is 4291387. The next prime is 4291403. The reversal of 4291392 is 2931924.

4291392 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41613 + ... + 41715.

Almost surely, 24291392 is an apocalyptic number.

4291392 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 4291392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762496).

4291392 is an abundant number, since it is smaller than the sum of its proper divisors (9233600).

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

4291392 is a wasteful number, since it uses less digits than its factorization.

4291392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 4291392 is about 2071.5675224332. The cubic root of 4291392 is about 162.5047509459.

The spelling of 4291392 in words is "four million, two hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 103 112 124 168 186 192 206 217 224 248 309 336 372 412 434 448 496 618 651 672 721 744 824 868 992 1236 1302 1344 1442 1488 1648 1736 1984 2163 2472 2604 2884 2976 3193 3296 3472 4326 4944 5208 5768 5952 6386 6592 6944 8652 9579 9888 10416 11536 12772 13888 17304 19158 19776 20832 22351 23072 25544 34608 38316 41664 44702 46144 51088 67053 69216 76632 89404 102176 134106 138432 153264 178808 204352 268212 306528 357616 536424 613056 715232 1072848 1430464 2145696 4291392