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2971152 = 243247439
BaseRepresentation
bin1011010101011000010000
312120221122200
423111120100
51230034102
6143403200
734153152
oct13253020
95527580
102971152
11174a2a8
12bb3500
138004a2
14574ad2
153da51c
hex2d5610

2971152 has 60 divisors (see below), whose sum is σ = 8511360. Its totient is φ = 967104.

The previous prime is 2971139. The next prime is 2971159. The reversal of 2971152 is 2511792.

It is not an unprimeable number, because it can be changed into a prime (2971159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6549 + ... + 6987.

It is an arithmetic number, because the mean of its divisors is an integer number (141856).

22971152 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 2971152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255680).

2971152 is an abundant number, since it is smaller than the sum of its proper divisors (5540208).

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

2971152 is a wasteful number, since it uses less digits than its factorization.

2971152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 491 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2971152 is about 1723.7029906570. The cubic root of 2971152 is about 143.7611782108.

The spelling of 2971152 in words is "two million, nine hundred seventy-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 439 564 752 846 878 1128 1317 1692 1756 2256 2634 3384 3512 3951 5268 6768 7024 7902 10536 15804 20633 21072 31608 41266 61899 63216 82532 123798 165064 185697 247596 330128 371394 495192 742788 990384 1485576 2971152