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9942444 = 22323159151
BaseRepresentation
bin100101111011…
…010110101100
3200201010110200
4211323112230
510021124234
6553033500
7150336501
oct45732654
920633420
109942444
1156809a6
1233b5890
1320a1605
14146b4a8
15d15d99
hex97b5ac

9942444 has 72 divisors (see below), whose sum is σ = 26557440. Its totient is φ = 3132000.

The previous prime is 9942437. The next prime is 9942461. The reversal of 9942444 is 4442499.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 9942399 and 9942408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65769 + ... + 65919.

Almost surely, 29942444 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 9942444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278720).

9942444 is an abundant number, since it is smaller than the sum of its proper divisors (16614996).

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

9942444 is a wasteful number, since it uses less digits than its factorization.

9942444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 9942444 is about 3153.1641251289. The cubic root of 9942444 is about 215.0293379831.

Subtracting from 9942444 its reverse (4442499), we obtain a palindrome (5499945).

The spelling of 9942444 in words is "nine million, nine hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 151 177 186 236 279 302 354 372 453 531 558 604 708 906 1062 1116 1359 1812 1829 2124 2718 3658 4681 5436 5487 7316 8909 9362 10974 14043 16461 17818 18724 21948 26727 28086 32922 35636 42129 53454 56172 65844 80181 84258 106908 160362 168516 276179 320724 552358 828537 1104716 1657074 2485611 3314148 4971222 9942444