Search a number
-
+
9142672 = 2471141181
BaseRepresentation
bin100010111000…
…000110010000
3122012111101111
4202320012100
54320031142
6523543104
7140466010
oct42700620
918174344
109142672
115185030
12308aa94
131b81586
1412ddc40
15c08e17
hex8b8190

9142672 has 80 divisors (see below), whose sum is σ = 22748544. Its totient is φ = 3456000.

The previous prime is 9142643. The next prime is 9142691. The reversal of 9142672 is 2762419.

9142672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50422 + ... + 50602.

Almost surely, 29142672 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 9142672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374272).

9142672 is an abundant number, since it is smaller than the sum of its proper divisors (13605872).

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

9142672 is a wasteful number, since it uses less digits than its factorization.

9142672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 9142672 is about 3023.6851687965. The cubic root of 9142672 is about 209.1017719739.

The spelling of 9142672 in words is "nine million, one hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 181 287 308 328 362 451 574 616 656 724 902 1148 1232 1267 1448 1804 1991 2296 2534 2896 3157 3608 3982 4592 5068 6314 7216 7421 7964 10136 12628 13937 14842 15928 20272 25256 27874 29684 31856 50512 51947 55748 59368 81631 103894 111496 118736 163262 207788 222992 326524 415576 571417 653048 831152 1142834 1306096 2285668 4571336 9142672