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47509938 = 23271272969
BaseRepresentation
bin1011010100111…
…1000110110010
310022101202101100
42311033012302
544130304223
64414145230
71114553640
oct265170662
9108352340
1047509938
11248aaa13
1213ab2216
139ac5bb8
14644a190
154287043
hex2d4f1b2

47509938 has 48 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 13462848.

The previous prime is 47509879. The next prime is 47509981. The reversal of 47509938 is 83990574.

It is a junction number, because it is equal to n+sod(n) for n = 47509893 and 47509902.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14518 + ... + 17486.

It is an arithmetic number, because the mean of its divisors is an integer number (2471040).

Almost surely, 247509938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47509938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59304960).

47509938 is an abundant number, since it is smaller than the sum of its proper divisors (71099982).

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

47509938 is a wasteful number, since it uses less digits than its factorization.

47509938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 47509938 is about 6892.7453166355. The cubic root of 47509938 is about 362.1830774244.

The spelling of 47509938 in words is "forty-seven million, five hundred nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 2969 5334 5938 8001 8907 16002 17814 20783 26721 41566 53442 62349 124698 187047 374094 377063 754126 1131189 2262378 2639441 3393567 5278882 6787134 7918323 15836646 23754969 47509938