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444662316 = 223271998867
BaseRepresentation
bin11010100000010…
…000001000101100
31010222201012000200
4122200100020230
51402313143231
6112042353500
714006365410
oct3240201054
91128635020
10444662316
1120900041a
12104abb890
137117b2c7
14430acd40
1529086be6
hex1a81022c

444662316 has 72 divisors (see below), whose sum is σ = 1291180800. Its totient is φ = 126393696.

The previous prime is 444662311. The next prime is 444662327. The reversal of 444662316 is 613266444.

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 not an unprimeable number, because it can be changed into a prime (444662311) 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, 45715 + ... + 54581.

Almost surely, 2444662316 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 444662316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645590400).

444662316 is an abundant number, since it is smaller than the sum of its proper divisors (846518484).

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

444662316 is a wasteful number, since it uses less digits than its factorization.

444662316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083 (or 9078 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 444662316 is about 21087.0177123272. The cubic root of 444662316 is about 763.2675083343.

The spelling of 444662316 in words is "four hundred forty-four million, six hundred sixty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2388 2786 3582 4179 5572 7164 8358 8867 12537 16716 17734 25074 26601 35468 50148 53202 62069 79803 106404 124138 159606 186207 248276 319212 372414 558621 744828 1117242 1764533 2234484 3529066 5293599 7058132 10587198 12351731 15880797 21174396 24703462 31761594 37055193 49406924 63523188 74110386 111165579 148220772 222331158 444662316