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4494672 = 24327413
BaseRepresentation
bin10001001001010101010000
322110100112100
4101021111100
52122312142
6240200400
753130000
oct21112520
98410470
104494672
11259aa06
121609100
13c14a90
14850000
155dbb4c
hex449550

4494672 has 150 divisors (see below), whose sum is σ = 15803242. Its totient is φ = 1185408.

The previous prime is 4494671. The next prime is 4494701. The reversal of 4494672 is 2764944.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 1382976 = 1764^2 + 1176^2 .

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 nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4494671) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 345738 + ... + 345750.

Almost surely, 24494672 is an apocalyptic number.

4494672 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 4494672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901621).

4494672 is an abundant number, since it is smaller than the sum of its proper divisors (11308570).

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

4494672 is a wasteful number, since it uses less digits than its factorization.

4494672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 25 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4494672 is about 2120.0641499728. The cubic root of 4494672 is about 165.0311786811.

The spelling of 4494672 in words is "four million, four hundred ninety-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 49 52 56 63 72 78 84 91 98 104 112 117 126 144 147 156 168 182 196 208 234 252 273 294 312 336 343 364 392 441 468 504 546 588 624 637 686 728 784 819 882 936 1008 1029 1092 1176 1274 1372 1456 1638 1764 1872 1911 2058 2184 2352 2401 2548 2744 3087 3276 3528 3822 4116 4368 4459 4802 5096 5488 5733 6174 6552 7056 7203 7644 8232 8918 9604 10192 11466 12348 13104 13377 14406 15288 16464 17836 19208 21609 22932 24696 26754 28812 30576 31213 35672 38416 40131 43218 45864 49392 53508 57624 62426 71344 80262 86436 91728 93639 107016 115248 124852 160524 172872 187278 214032 249704 280917 321048 345744 374556 499408 561834 642096 749112 1123668 1498224 2247336 4494672