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47825064 = 23327313061
BaseRepresentation
bin1011011001110…
…0000010101000
310022222202122200
42312130002220
544220400224
64425020200
71120335450
oct266340250
9108882580
1047825064
1124aa5751
1214024660
139ba6471
1464ccd60
1542ea5c9
hex2d9c0a8

47825064 has 96 divisors (see below), whose sum is σ = 152855040. Its totient is φ = 13219200.

The previous prime is 47825059. The next prime is 47825081. The reversal of 47825064 is 46052874.

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

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 23 ways as a sum of consecutive naturals, for example, 14094 + ... + 17154.

It is an arithmetic number, because the mean of its divisors is an integer number (1592240).

Almost surely, 247825064 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 47825064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76427520).

47825064 is an abundant number, since it is smaller than the sum of its proper divisors (105029976).

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

47825064 is a wasteful number, since it uses less digits than its factorization.

47825064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 47825064 is about 6915.5667880514. The cubic root of 47825064 is about 362.9820813959.

The spelling of 47825064 in words is "forty-seven million, eight hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3061 3906 5208 6122 7812 9183 12244 15624 18366 21427 24488 27549 36732 42854 55098 64281 73464 85708 94891 110196 128562 171416 189782 192843 220392 257124 284673 379564 385686 514248 569346 664237 759128 771372 854019 1138692 1328474 1542744 1708038 1992711 2277384 2656948 3416076 3985422 5313896 5978133 6832152 7970844 11956266 15941688 23912532 47825064