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47309904 = 24322911329
BaseRepresentation
bin1011010001111…
…0010001010000
310022000120222200
42310132101100
544102404104
64410003200
71113061515
oct264362120
9108016880
1047309904
11247836a4
1213a16500
139a55b35
1463d730c
154247b39
hex2d1e450

47309904 has 60 divisors (see below), whose sum is σ = 136979700. Its totient is φ = 15224832.

The previous prime is 47309893. The next prime is 47309947. The reversal of 47309904 is 40990374.

It can be written as a sum of positive squares in 2 ways, for example, as 20684304 + 26625600 = 4548^2 + 5160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1489 + ... + 9840.

It is an arithmetic number, because the mean of its divisors is an integer number (2282995).

Almost surely, 247309904 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 47309904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68489850).

47309904 is an abundant number, since it is smaller than the sum of its proper divisors (89669796).

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

47309904 is a wasteful number, since it uses less digits than its factorization.

47309904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11372 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 47309904 is about 6878.2195370604. The cubic root of 47309904 is about 361.6740551722.

The spelling of 47309904 in words is "forty-seven million, three hundred nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 11329 22658 33987 45316 67974 90632 101961 135948 181264 203922 271896 328541 407844 543792 657082 815688 985623 1314164 1631376 1971246 2628328 2956869 3942492 5256656 5913738 7884984 11827476 15769968 23654952 47309904