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29842056 = 2332894657
BaseRepresentation
bin111000111010…
…1101010001000
32002011010121100
41301311222020
530114421211
62543341400
7511440036
oct161655210
962133540
1029842056
1115932862
129bb1860
13624b12a
143d6b556
152947156
hex1c75a88

29842056 has 48 divisors (see below), whose sum is σ = 81747900. Its totient is φ = 9833472.

The previous prime is 29842051. The next prime is 29842061. The reversal of 29842056 is 65024892.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29842051) and next prime (29842061).

It can be written as a sum of positive squares in 2 ways, for example, as 25704900 + 4137156 = 5070^2 + 2034^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 29842056.

It is not an unprimeable number, because it can be changed into a prime (29842051) 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, 4080 + ... + 8736.

Almost surely, 229842056 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 29842056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40873950).

29842056 is an abundant number, since it is smaller than the sum of its proper divisors (51905844).

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

29842056 is a wasteful number, since it uses less digits than its factorization.

29842056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 29842056 is about 5462.7882990283. The cubic root of 29842056 is about 310.1769922339.

The spelling of 29842056 in words is "twenty-nine million, eight hundred forty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 4657 6408 9314 13971 18628 27942 37256 41913 55884 83826 111768 167652 335304 414473 828946 1243419 1657892 2486838 3315784 3730257 4973676 7460514 9947352 14921028 29842056