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47427324 = 22374147293
BaseRepresentation
bin1011010011101…
…0111011111100
310022020120001120
42310322323330
544120133244
64412310540
71114061040
oct264727374
9108216046
1047427324
112485393a
1213a72450
139a97409
146428020
15426c819
hex2d3aefc

47427324 has 96 divisors (see below), whose sum is σ = 132765696. Its totient is φ = 12894720.

The previous prime is 47427319. The next prime is 47427329. The reversal of 47427324 is 42372474.

It is an interprime number because it is at equal distance from previous prime (47427319) and next prime (47427329).

It is a super-3 number, since 3×474273243 (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47427329) 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, 161722 + ... + 162014.

It is an arithmetic number, because the mean of its divisors is an integer number (1382976).

Almost surely, 247427324 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 47427324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66382848).

47427324 is an abundant number, since it is smaller than the sum of its proper divisors (85338372).

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

47427324 is a wasteful number, since it uses less digits than its factorization.

47427324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its digits is 37632, while the sum is 33.

The square root of 47427324 is about 6886.7498865575. The cubic root of 47427324 is about 361.9730248613.

Adding to 47427324 its reverse (42372474), we get a palindrome (89799798).

The spelling of 47427324 in words is "forty-seven million, four hundred twenty-seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 47 82 84 94 123 141 164 188 246 282 287 293 329 492 564 574 586 658 861 879 987 1148 1172 1316 1722 1758 1927 1974 2051 3444 3516 3854 3948 4102 5781 6153 7708 8204 11562 12013 12306 13489 13771 23124 24026 24612 26978 27542 36039 40467 41313 48052 53956 55084 72078 80934 82626 84091 96397 144156 161868 165252 168182 192794 252273 289191 336364 385588 504546 564611 578382 1009092 1129222 1156764 1693833 2258444 3387666 3952277 6775332 7904554 11856831 15809108 23713662 47427324