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47029024 = 257289337
BaseRepresentation
bin1011001101100…
…1101100100000
310021111022200201
42303121230200
544014412044
64355554544
71110511600
oct263315440
9107438621
1047029024
1124601669
12138bba54
139988033
146362c00
1541de7d4
hex2cd9b20

47029024 has 72 divisors (see below), whose sum is σ = 109238220. Its totient is φ = 19869696.

The previous prime is 47029013. The next prime is 47029027. The reversal of 47029024 is 42092074.

It can be written as a sum of positive squares in 2 ways, for example, as 43296400 + 3732624 = 6580^2 + 1932^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 47028983 and 47029001.

It is not an unprimeable number, because it can be changed into a prime (47029027) 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, 139384 + ... + 139720.

Almost surely, 247029024 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 47029024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54619110).

47029024 is an abundant number, since it is smaller than the sum of its proper divisors (62209196).

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

47029024 is a wasteful number, since it uses less digits than its factorization.

47029024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 47029024 is about 6857.7710664618. The cubic root of 47029024 is about 360.9568782372.

The spelling of 47029024 in words is "forty-seven million, twenty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 89 98 112 178 196 224 337 356 392 623 674 712 784 1246 1348 1424 1568 2359 2492 2696 2848 4361 4718 4984 5392 8722 9436 9968 10784 16513 17444 18872 19936 29993 33026 34888 37744 59986 66052 69776 75488 119972 132104 139552 209951 239944 264208 419902 479888 528416 839804 959776 1469657 1679608 2939314 3359216 5878628 6718432 11757256 23514512 47029024