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47413240 = 2357313541
BaseRepresentation
bin1011010011011…
…1011111111000
310022012211201221
42310313133320
544114210430
64412121424
71114002010
oct264673770
9108184657
1047413240
11248442a6
1213a66274
139a90b94
146422c40
15426857a
hex2d377f8

47413240 has 64 divisors (see below), whose sum is σ = 122535360. Its totient is φ = 16174080.

The previous prime is 47413213. The next prime is 47413241. The reversal of 47413240 is 4231474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47413241) 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 15 ways as a sum of consecutive naturals, for example, 87370 + ... + 87910.

It is an arithmetic number, because the mean of its divisors is an integer number (1914615).

Almost surely, 247413240 is an apocalyptic number.

47413240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61267680).

47413240 is an abundant number, since it is smaller than the sum of its proper divisors (75122120).

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

47413240 is a wasteful number, since it uses less digits than its factorization.

47413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 47413240 is about 6885.7272673262. The cubic root of 47413240 is about 361.9371908570.

The spelling of 47413240 in words is "forty-seven million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 313 541 626 1082 1252 1565 2164 2191 2504 2705 3130 3787 4328 4382 5410 6260 7574 8764 10820 10955 12520 15148 17528 18935 21640 21910 30296 37870 43820 75740 87640 151480 169333 338666 677332 846665 1185331 1354664 1693330 2370662 3386660 4741324 5926655 6773320 9482648 11853310 23706620 47413240