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47742024 = 23311193937
BaseRepresentation
bin1011011000011…
…1110001001000
310022211112202010
42312013301020
544210221044
64423135520
71116541401
oct266076110
9108745663
1047742024
1124a49320
1213ba45a0
139b77725
1464aa9a8
1542d0bb9
hex2d87c48

47742024 has 64 divisors (see below), whose sum is σ = 131019840. Its totient is φ = 14376960.

The previous prime is 47742011. The next prime is 47742031. The reversal of 47742024 is 42024774.

It is a junction number, because it is equal to n+sod(n) for n = 47741982 and 47742000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50484 + ... + 51420.

It is an arithmetic number, because the mean of its divisors is an integer number (2047185).

Almost surely, 247742024 is an apocalyptic number.

47742024 is a gapful number since it is divisible by the number (44) 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 47742024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65509920).

47742024 is an abundant number, since it is smaller than the sum of its proper divisors (83277816).

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

47742024 is a wasteful number, since it uses less digits than its factorization.

47742024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 47742024 is about 6909.5603333353. The cubic root of 47742024 is about 362.7718743632.

Adding to 47742024 its reverse (42024774), we get a palindrome (89766798).

The spelling of 47742024 in words is "forty-seven million, seven hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 264 386 579 772 937 1158 1544 1874 2123 2316 2811 3748 4246 4632 5622 6369 7496 8492 10307 11244 12738 16984 20614 22488 25476 30921 41228 50952 61842 82456 123684 180841 247368 361682 542523 723364 1085046 1446728 1989251 2170092 3978502 4340184 5967753 7957004 11935506 15914008 23871012 47742024