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90828850 = 25272131283
BaseRepresentation
bin1010110100111…
…11000000110010
320022220120202111
411122133000302
5141223010400
613002435534
72152014100
oct532370062
9208816674
1090828850
11472a8072
1226502baa
1315a822a8
14c0c4c70
157e923ba
hex569f032

90828850 has 72 divisors (see below), whose sum is σ = 198723888. Its totient is φ = 30794400.

The previous prime is 90828847. The next prime is 90828851. The reversal of 90828850 is 5882809.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90828851) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 320809 + ... + 321091.

It is an arithmetic number, because the mean of its divisors is an integer number (2760054).

Almost surely, 290828850 is an apocalyptic number.

90828850 is an abundant number, since it is smaller than the sum of its proper divisors (107895038).

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

90828850 is a wasteful number, since it uses less digits than its factorization.

90828850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 90828850 is about 9530.4170947551. The cubic root of 90828850 is about 449.5119812298.

The spelling of 90828850 in words is "ninety million, eight hundred twenty-eight thousand, eight hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 131 175 245 262 283 350 490 566 655 917 1225 1310 1415 1834 1981 2450 2830 3275 3962 4585 6419 6550 7075 9170 9905 12838 13867 14150 19810 22925 27734 32095 37073 45850 49525 64190 69335 74146 99050 138670 160475 185365 259511 320950 346675 370730 519022 693350 926825 1297555 1816577 1853650 2595110 3633154 6487775 9082885 12975550 18165770 45414425 90828850