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90471052 = 2273234761
BaseRepresentation
bin1010110010001…
…11101010001100
320022020101221201
411121013222030
5141130033202
612551035244
72145664000
oct531075214
9208211851
1090471052
1147083271
122636bb24
1315988489
14c030700
157e21387
hex5647a8c

90471052 has 96 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 35703360.

The previous prime is 90471049. The next prime is 90471067. The reversal of 90471052 is 25017409.

It is a happy number.

It is a super-2 number, since 2×904710522 = 16370022499973408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 90471052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1483102 + ... + 1483162.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 290471052 is an apocalyptic number.

90471052 is a gapful number since it is divisible by the number (92) 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 90471052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

90471052 is an abundant number, since it is smaller than the sum of its proper divisors (109516148).

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

90471052 is a wasteful number, since it uses less digits than its factorization.

90471052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 90471052 is about 9511.6272004321. The cubic root of 90471052 is about 448.9209570467.

The spelling of 90471052 in words is "ninety million, four hundred seventy-one thousand, fifty-two".

Divisors: 1 2 4 7 14 23 28 46 47 49 61 92 94 98 122 161 188 196 244 322 329 343 427 644 658 686 854 1081 1127 1316 1372 1403 1708 2162 2254 2303 2806 2867 2989 4324 4508 4606 5612 5734 5978 7567 7889 9212 9821 11468 11956 15134 15778 16121 19642 20069 20923 30268 31556 32242 39284 40138 41846 52969 64484 65941 68747 80276 83692 105938 131882 137494 140483 211876 263764 274988 280966 370783 461587 481229 561932 741566 923174 962458 983381 1483132 1846348 1924916 1966762 3231109 3933524 6462218 12924436 22617763 45235526 90471052