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4297872 = 2431723229
BaseRepresentation
bin10000011001010010010000
322002100120110
4100121102100
52100012442
6232041320
751350145
oct20312220
98070513
104297872
112476067
121533240
13b76327
147dc3cc
1559d69c
hex419490

4297872 has 80 divisors (see below), whose sum is σ = 12320640. Its totient is φ = 1284096.

The previous prime is 4297861. The next prime is 4297897. The reversal of 4297872 is 2787924.

It is a self number, because there is not a number n which added to its sum of digits gives 4297872.

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 15 ways as a sum of consecutive naturals, for example, 18654 + ... + 18882.

It is an arithmetic number, because the mean of its divisors is an integer number (154008).

Almost surely, 24297872 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 4297872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160320).

4297872 is an abundant number, since it is smaller than the sum of its proper divisors (8022768).

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

4297872 is a wasteful number, since it uses less digits than its factorization.

4297872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 4297872 is about 2073.1309654723. The cubic root of 4297872 is about 162.5865038445.

Subtracting from 4297872 its product of digits (56448), we obtain a palindrome (4241424).

The spelling of 4297872 in words is "four million, two hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 229 272 276 368 391 408 458 552 687 782 816 916 1104 1173 1374 1564 1832 2346 2748 3128 3664 3893 4692 5267 5496 6256 7786 9384 10534 10992 11679 15572 15801 18768 21068 23358 31144 31602 42136 46716 62288 63204 84272 89539 93432 126408 179078 186864 252816 268617 358156 537234 716312 1074468 1432624 2148936 4297872