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90191948 = 22721123803
BaseRepresentation
bin1010110000000…
…11100001001100
320021201020002112
411120003201030
5141042120243
612541043152
72143422200
oct530034114
9207636075
1090191948
1146a02600
12262564b8
13158bb422
14bd9ab00
157db8818
hex560384c

90191948 has 54 divisors (see below), whose sum is σ = 201866868. Its totient is φ = 35130480.

The previous prime is 90191921. The next prime is 90191999. The reversal of 90191948 is 84919109.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21815 + ... + 25617.

Almost surely, 290191948 is an apocalyptic number.

90191948 is a gapful number since it is divisible by the number (98) 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 90191948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100933434).

90191948 is an abundant number, since it is smaller than the sum of its proper divisors (111674920).

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

90191948 is a wasteful number, since it uses less digits than its factorization.

90191948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 41.

The square root of 90191948 is about 9496.9441400905. The cubic root of 90191948 is about 448.4588397935.

The spelling of 90191948 in words is "ninety million, one hundred ninety-one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 3803 5929 7606 11858 15212 23716 26621 41833 53242 83666 106484 167332 186347 292831 372694 460163 585662 745388 920326 1171324 1840652 2049817 3221141 4099634 6442282 8199268 12884564 22547987 45095974 90191948