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47117241 = 3331411373
BaseRepresentation
bin1011001110111…
…1001110111001
310021122210201000
42303233032321
544030222431
64401515213
71111330023
oct263571671
9107583630
1047117241
1124661976
1213942b09
1399b9232
146387013
15420a9e6
hex2cef3b9

47117241 has 32 divisors (see below), whose sum is σ = 73866240. Its totient is φ = 29635200.

The previous prime is 47117221. The next prime is 47117261. The reversal of 47117241 is 14271174.

It is an interprime number because it is at equal distance from previous prime (47117221) and next prime (47117261).

It is not a de Polignac number, because 47117241 - 217 = 46986169 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (47117221) 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 31 ways as a sum of consecutive naturals, for example, 33631 + ... + 35003.

It is an arithmetic number, because the mean of its divisors is an integer number (2308320).

Almost surely, 247117241 is an apocalyptic number.

47117241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

47117241 is a deficient number, since it is larger than the sum of its proper divisors (26748999).

47117241 is a wasteful number, since it uses less digits than its factorization.

47117241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1448 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 47117241 is about 6864.1999533813. The cubic root of 47117241 is about 361.1824314586.

The spelling of 47117241 in words is "forty-seven million, one hundred seventeen thousand, two hundred forty-one".

Divisors: 1 3 9 27 31 41 93 123 279 369 837 1107 1271 1373 3813 4119 11439 12357 34317 37071 42563 56293 127689 168879 383067 506637 1149201 1519911 1745083 5235249 15705747 47117241