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2952192 = 2103312
BaseRepresentation
bin1011010000110000000000
312112222122110
423100300000
51223432232
6143135320
734043655
oct13206000
95488573
102952192
111737031
12ba4540
137c4979
1456bc2c
153d4acc
hex2d0c00

2952192 has 66 divisors (see below), whose sum is σ = 8130684. Its totient is φ = 952320.

The previous prime is 2952179. The next prime is 2952197. The reversal of 2952192 is 2912592.

Its product of digits (3240) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2952197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95217 + ... + 95247.

22952192 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 2952192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065342).

2952192 is an abundant number, since it is smaller than the sum of its proper divisors (5178492).

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

2952192 is an equidigital number, since it uses as much as digits as its factorization.

2952192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 2952192 is about 1718.1944011083. The cubic root of 2952192 is about 143.4547279965.

The spelling of 2952192 in words is "two million, nine hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 961 992 1024 1488 1536 1922 1984 2883 2976 3072 3844 3968 5766 5952 7688 7936 11532 11904 15376 15872 23064 23808 30752 31744 46128 47616 61504 92256 95232 123008 184512 246016 369024 492032 738048 984064 1476096 2952192