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4289472 = 263211677
BaseRepresentation
bin10000010111001111000000
322001221001100
4100113033000
52044230342
6231534400
751313515
oct20271700
98057040
104289472
11246a820
12152a400
13b72565
147d930c
1559ae4c
hex4173c0

4289472 has 84 divisors (see below), whose sum is σ = 13432536. Its totient is φ = 1297920.

The previous prime is 4289471. The next prime is 4289473. The reversal of 4289472 is 2749824.

It is an interprime number because it is at equal distance from previous prime (4289471) and next prime (4289473).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5998 + ... + 6674.

Almost surely, 24289472 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 4289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716268).

4289472 is an abundant number, since it is smaller than the sum of its proper divisors (9143064).

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

4289472 is a wasteful number, since it uses less digits than its factorization.

4289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4289472 is about 2071.1040533976. The cubic root of 4289472 is about 162.4805120614.

It can be divided in two parts, 4289 and 472, that added together give a square (4761 = 692).

The spelling of 4289472 in words is "four million, two hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 677 704 792 1056 1354 1584 2031 2112 2708 3168 4062 5416 6093 6336 7447 8124 10832 12186 14894 16248 21664 22341 24372 29788 32496 43328 44682 48744 59576 64992 67023 89364 97488 119152 129984 134046 178728 194976 238304 268092 357456 389952 476608 536184 714912 1072368 1429824 2144736 4289472