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47305434 = 23112232833
BaseRepresentation
bin1011010001110…
…1001011011010
310022000100212010
42310131023122
544102233214
64405530350
71113042501
oct264351332
9108010763
1047305434
1124780300
1213a139b6
139a53aa7
1463d5838
154246659
hex2d1d2da

47305434 has 48 divisors (see below), whose sum is σ = 108553536. Its totient is φ = 13706880.

The previous prime is 47305429. The next prime is 47305463. The reversal of 47305434 is 43450374.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 15282 + ... + 18114.

It is an arithmetic number, because the mean of its divisors is an integer number (2261532).

Almost surely, 247305434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47305434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54276768).

47305434 is an abundant number, since it is smaller than the sum of its proper divisors (61248102).

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

47305434 is a wasteful number, since it uses less digits than its factorization.

47305434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 47305434 is about 6877.8945906433. The cubic root of 47305434 is about 361.6626640834.

The spelling of 47305434 in words is "forty-seven million, three hundred five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 1518 2783 2833 5566 5666 8349 8499 16698 16998 31163 62326 65159 93489 130318 186978 195477 342793 390954 685586 716749 1028379 1433498 2056758 2150247 4300494 7884239 15768478 23652717 47305434