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4489968 = 243722383
BaseRepresentation
bin10001001000001011110000
322110010002010
4101020023300
52122134333
6240122520
753110200
oct21101360
98403063
104489968
11259741a
121606440
13c128b2
1484c400
155da563
hex4482f0

4489968 has 120 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 1212288.

The previous prime is 4489967. The next prime is 4489973. The reversal of 4489968 is 8699844.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 49 + 411 + 8 + 9 + 93 + 6 + 85 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4489967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54055 + ... + 54137.

Almost surely, 24489968 is an apocalyptic number.

4489968 is a gapful number since it is divisible by the number (48) 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 4489968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

4489968 is an abundant number, since it is smaller than the sum of its proper divisors (9759120).

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

4489968 is a wasteful number, since it uses less digits than its factorization.

4489968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 4489968 is about 2118.9544591614. The cubic root of 4489968 is about 164.9735862218.

The spelling of 4489968 in words is "four million, four hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 83 84 92 98 112 138 147 161 166 168 184 196 249 276 294 322 332 336 368 392 483 498 552 581 588 644 664 784 966 996 1104 1127 1162 1176 1288 1328 1743 1909 1932 1992 2254 2324 2352 2576 3381 3486 3818 3864 3984 4067 4508 4648 5727 6762 6972 7636 7728 8134 9016 9296 11454 12201 13363 13524 13944 15272 16268 18032 22908 24402 26726 27048 27888 30544 32536 40089 45816 48804 53452 54096 65072 80178 91632 93541 97608 106904 160356 187082 195216 213808 280623 320712 374164 561246 641424 748328 1122492 1496656 2244984 4489968