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47046132 = 22327238117
BaseRepresentation
bin1011001101110…
…1110111110100
310021112012011100
42303131313310
544020434012
64400210100
71110612510
oct263356764
9107465140
1047046132
1124613501
1213909930
139992a63
146369140
1541e48dc
hex2cdddf4

47046132 has 72 divisors (see below), whose sum is σ = 141837696. Its totient is φ = 12855744.

The previous prime is 47046121. The next prime is 47046137. The reversal of 47046132 is 23164074.

47046132 is a `hidden beast` number, since 47 + 0 + 4 + 613 + 2 = 666.

It is a super-2 number, since 2×470461322 = 4426677072322848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47046096 and 47046105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47046137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1738 + ... + 9854.

It is an arithmetic number, because the mean of its divisors is an integer number (1969968).

Almost surely, 247046132 is an apocalyptic number.

47046132 is a gapful number since it is divisible by the number (42) 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 47046132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70918848).

47046132 is an abundant number, since it is smaller than the sum of its proper divisors (94791564).

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

47046132 is a wasteful number, since it uses less digits than its factorization.

47046132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 47046132 is about 6859.0182971035. The cubic root of 47046132 is about 361.0006420033. Note that the first 3 decimals are identical.

The spelling of 47046132 in words is "forty-seven million, forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 8117 16234 24351 32468 48702 56819 73053 97404 113638 146106 170457 186691 227276 292212 340914 373382 511371 560073 681828 746764 1022742 1120146 1306837 1680219 2045484 2240292 2613674 3360438 3920511 5227348 6720876 7841022 11761533 15682044 23523066 47046132