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47324442 = 23115383163
BaseRepresentation
bin1011010010000…
…1110100011010
310022001022221010
42310201310122
544103340232
64410154350
71113152064
oct264416432
9108038833
1047324442
1124793610
1213a229b6
139a5c639
1463dc734
15424c0cc
hex2d21d1a

47324442 has 64 divisors (see below), whose sum is σ = 107122176. Its totient is φ = 13815360.

The previous prime is 47324437. The next prime is 47324449. The reversal of 47324442 is 24442374.

It is a happy number.

It is a super-2 number, since 2×473244422 = 4479205621222728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47324449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290253 + ... + 290415.

It is an arithmetic number, because the mean of its divisors is an integer number (1673784).

Almost surely, 247324442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47324442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53561088).

47324442 is an abundant number, since it is smaller than the sum of its proper divisors (59797734).

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

47324442 is a wasteful number, since it uses less digits than its factorization.

47324442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315.

The product of its digits is 21504, while the sum is 30.

The square root of 47324442 is about 6879.2762700738. The cubic root of 47324442 is about 361.7110980073.

The spelling of 47324442 in words is "forty-seven million, three hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 53 66 83 106 159 163 166 249 318 326 489 498 583 913 978 1166 1749 1793 1826 2739 3498 3586 4399 5379 5478 8639 8798 10758 13197 13529 17278 25917 26394 27058 40587 48389 51834 81174 95029 96778 145167 148819 190058 285087 290334 297638 446457 570174 717037 892914 1434074 2151111 4302222 7887407 15774814 23662221 47324442