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47124132 = 22311794519
BaseRepresentation
bin1011001111000…
…0111010100100
310021200011011020
42303300322210
544030433012
64402011140
71111356066
oct263607244
9107604136
1047124132
1124667070
1213946ab0
1399bc403
146389736
15420ca8c
hex2cf0ea4

47124132 has 48 divisors (see below), whose sum is σ = 121497600. Its totient is φ = 14096160.

The previous prime is 47124131. The next prime is 47124149. The reversal of 47124132 is 23142174.

It is a happy number.

47124132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47124131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8169 + ... + 12687.

It is an arithmetic number, because the mean of its divisors is an integer number (2531200).

Almost surely, 247124132 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 47124132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60748800).

47124132 is an abundant number, since it is smaller than the sum of its proper divisors (74373468).

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

47124132 is a wasteful number, since it uses less digits than its factorization.

47124132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4614 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 47124132 is about 6864.7018871907. The cubic root of 47124132 is about 361.2000385083.

The spelling of 47124132 in words is "forty-seven million, one hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 4519 5214 9038 10428 13557 18076 27114 49709 54228 99418 149127 198836 298254 357001 596508 714002 1071003 1428004 2142006 3927011 4284012 7854022 11781033 15708044 23562066 47124132