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90953082 = 232111273617
BaseRepresentation
bin1010110101111…
…01010101111010
320100010220011200
411122331111322
5141240444312
613005235030
72153042223
oct532752572
9210126150
1090953082
1147382440
1226562a76
1315ac69bc
14c11824a
157eb90dc
hex56bd57a

90953082 has 48 divisors (see below), whose sum is σ = 216732672. Its totient is φ = 27336960.

The previous prime is 90953081. The next prime is 90953089. The reversal of 90953082 is 28035909.

It is not an unprimeable number, because it can be changed into a prime (90953081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23338 + ... + 26954.

It is an arithmetic number, because the mean of its divisors is an integer number (4515264).

Almost surely, 290953082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90953082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108366336).

90953082 is an abundant number, since it is smaller than the sum of its proper divisors (125779590).

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

90953082 is a wasteful number, since it uses less digits than its factorization.

90953082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90953082 is about 9536.9325257129. The cubic root of 90953082 is about 449.7168292544.

The spelling of 90953082 in words is "ninety million, nine hundred fifty-three thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 1143 1397 2286 2794 3617 4191 7234 8382 10851 12573 21702 25146 32553 39787 65106 79574 119361 238722 358083 459359 716166 918718 1378077 2756154 4134231 5052949 8268462 10105898 15158847 30317694 45476541 90953082