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9142272 = 2153231
BaseRepresentation
bin100010111000…
…000000000000
3122012110211200
4202320000000
54320023042
6523541200
7140464566
oct42700000
918173750
109142272
1151847a7
12308a800
131b81339
1412dda36
15c08c4c
hex8b8000

9142272 has 96 divisors (see below), whose sum is σ = 27262560. Its totient is φ = 2949120.

The previous prime is 9142229. The next prime is 9142283. The reversal of 9142272 is 2722419.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×91422722 = 167162274643968, which contains 22 as substring.

Its product of digits (2016) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294897 + ... + 294927.

It is an arithmetic number, because the mean of its divisors is an integer number (283985).

Almost surely, 29142272 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 9142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631280).

9142272 is an abundant number, since it is smaller than the sum of its proper divisors (18120288).

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

9142272 is an equidigital number, since it uses as much as digits as its factorization.

9142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 9142272 is about 3023.6190236205. The cubic root of 9142272 is about 209.0987224668.

The spelling of 9142272 in words is "nine million, one hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2976 3072 3968 4096 4464 4608 5952 6144 7936 8192 8928 9216 11904 12288 15872 16384 17856 18432 23808 24576 31744 32768 35712 36864 47616 49152 63488 71424 73728 95232 98304 126976 142848 147456 190464 253952 285696 294912 380928 507904 571392 761856 1015808 1142784 1523712 2285568 3047424 4571136 9142272