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47352420 = 22325503523
BaseRepresentation
bin1011010010100…
…0101001100100
310022002202022100
42310220221210
544110234140
64410532100
71113326463
oct264505144
9108082270
1047352420
1124802635
1213a37030
139a6c2ab
1464089da
154255530
hex2d28a64

47352420 has 72 divisors (see below), whose sum is σ = 144196416. Its totient is φ = 12578112.

The previous prime is 47352419. The next prime is 47352421. The reversal of 47352420 is 2425374.

It is an interprime number because it is at equal distance from previous prime (47352419) and next prime (47352421).

It is not an unprimeable number, because it can be changed into a prime (47352421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90279 + ... + 90801.

It is an arithmetic number, because the mean of its divisors is an integer number (2002728).

Almost surely, 247352420 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 47352420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72098208).

47352420 is an abundant number, since it is smaller than the sum of its proper divisors (96843996).

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

47352420 is a wasteful number, since it uses less digits than its factorization.

47352420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 47352420 is about 6881.3094684079. The cubic root of 47352420 is about 361.7823646301.

Adding to 47352420 its reverse (2425374), we get a palindrome (49777794).

The spelling of 47352420 in words is "forty-seven million, three hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 503 523 1006 1046 1509 1569 2012 2092 2515 2615 3018 3138 4527 4707 5030 5230 6036 6276 7545 7845 9054 9414 10060 10460 15090 15690 18108 18828 22635 23535 30180 31380 45270 47070 90540 94140 263069 526138 789207 1052276 1315345 1578414 2367621 2630690 3156828 3946035 4735242 5261380 7892070 9470484 11838105 15784140 23676210 47352420