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2942632 = 2371117281
BaseRepresentation
bin1011001110011010101000
312112111112101
423032122220
51223131012
6143023144
734004050
oct13163250
95474471
102942632
11172a930
12b9aab4
137c0504
14568560
153d1d57
hex2ce6a8

2942632 has 64 divisors (see below), whose sum is σ = 7309440. Its totient is φ = 1075200.

The previous prime is 2942629. The next prime is 2942657. The reversal of 2942632 is 2362492.

2942632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 215 + 94 + 49 + 219 + 62 + 39 + 221 .

It is a self number, because there is not a number n which added to its sum of digits gives 2942632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10332 + ... + 10612.

It is an arithmetic number, because the mean of its divisors is an integer number (114210).

22942632 is an apocalyptic number.

2942632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2942632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654720).

2942632 is an abundant number, since it is smaller than the sum of its proper divisors (4366808).

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

2942632 is a wasteful number, since it uses less digits than its factorization.

2942632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 2942632 is about 1715.4101550358. The cubic root of 2942632 is about 143.2997120829.

It can be divided in two parts, 294 and 2632, that added together give a triangular number (2926 = T76).

The spelling of 2942632 in words is "two million, nine hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 281 308 374 476 562 616 748 952 1124 1309 1496 1967 2248 2618 3091 3934 4777 5236 6182 7868 9554 10472 12364 15736 19108 21637 24728 33439 38216 43274 52547 66878 86548 105094 133756 173096 210188 267512 367829 420376 735658 1471316 2942632