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47233044 = 2234731997
BaseRepresentation
bin1011010000101…
…1100000010100
310021212200120000
42310023200110
544042424134
64404211300
71112321445
oct264134024
9107780500
1047233044
1124730981
1213999b30
139a29b61
1463b72cc
15422ee99
hex2d0b814

47233044 has 60 divisors (see below), whose sum is σ = 125230644. Its totient is φ = 15520896.

The previous prime is 47233037. The next prime is 47233063. The reversal of 47233044 is 44033274.

It can be written as a sum of positive squares in 2 ways, for example, as 11088900 + 36144144 = 3330^2 + 6012^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 47232999 and 47233017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22654 + ... + 24650.

Almost surely, 247233044 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 47233044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62615322).

47233044 is an abundant number, since it is smaller than the sum of its proper divisors (77997600).

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

47233044 is a wasteful number, since it uses less digits than its factorization.

47233044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 47233044 is about 6872.6300642476. The cubic root of 47233044 is about 361.4780896140.

The spelling of 47233044 in words is "forty-seven million, two hundred thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 1997 2628 3942 3994 5913 5991 7884 7988 11826 11982 17973 23652 23964 35946 53919 71892 107838 145781 161757 215676 291562 323514 437343 583124 647028 874686 1312029 1749372 2624058 3936087 5248116 7872174 11808261 15744348 23616522 47233044