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47620992 = 2731961107
BaseRepresentation
bin1011010110101…
…0001110000000
310022121101201110
42311222032000
544142332432
64420403320
71115525466
oct265521600
9108541643
1047620992
11249763a1
1213b46540
139b34603
146478836
1542a9dcc
hex2d6a380

47620992 has 128 divisors (see below), whose sum is σ = 136598400. Its totient is φ = 14653440.

The previous prime is 47620957. The next prime is 47620999. The reversal of 47620992 is 29902674.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 47620992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47620999) 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 15 ways as a sum of consecutive naturals, for example, 445003 + ... + 445109.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 247620992 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 47620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

47620992 is an abundant number, since it is smaller than the sum of its proper divisors (88977408).

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

47620992 is a wasteful number, since it uses less digits than its factorization.

47620992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 47620992 is about 6900.7964757700. The cubic root of 47620992 is about 362.4650575911.

The spelling of 47620992 in words is "forty-seven million, six hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 107 114 122 128 152 183 192 214 228 244 304 321 366 384 428 456 488 608 642 732 856 912 976 1159 1216 1284 1464 1712 1824 1952 2033 2318 2432 2568 2928 3424 3477 3648 3904 4066 4636 5136 5856 6099 6527 6848 6954 7296 7808 8132 9272 10272 11712 12198 13054 13696 13908 16264 18544 19581 20544 23424 24396 26108 27816 32528 37088 39162 41088 48792 52216 55632 65056 74176 78324 97584 104432 111264 124013 130112 148352 156648 195168 208864 222528 248026 260224 313296 372039 390336 417728 445056 496052 626592 744078 780672 835456 992104 1253184 1488156 1984208 2506368 2976312 3968416 5952624 7936832 11905248 15873664 23810496 47620992