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91057842 = 232191811471
BaseRepresentation
bin1010110110101…
…10111010110010
320100100012212200
411123112322302
5141302322332
613011404030
72153656521
oct533267262
9210305780
1091057842
1147444117
12265b3616
1315b325a5
14c1444b8
157eda17c
hex56d6eb2

91057842 has 48 divisors (see below), whose sum is σ = 208965120. Its totient is φ = 28576800.

The previous prime is 91057829. The next prime is 91057859. The reversal of 91057842 is 24875019.

It is a junction number, because it is equal to n+sod(n) for n = 91057797 and 91057806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61167 + ... + 62637.

It is an arithmetic number, because the mean of its divisors is an integer number (4353440).

Almost surely, 291057842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91057842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104482560).

91057842 is an abundant number, since it is smaller than the sum of its proper divisors (117907278).

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

91057842 is a wasteful number, since it uses less digits than its factorization.

91057842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 91057842 is about 9542.4232771346. The cubic root of 91057842 is about 449.8894246832.

The spelling of 91057842 in words is "ninety-one million, fifty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 181 342 362 543 1086 1471 1629 2942 3258 3439 4413 6878 8826 10317 13239 20634 26478 27949 30951 55898 61902 83847 167694 251541 266251 503082 532502 798753 1597506 2396259 4792518 5058769 10117538 15176307 30352614 45528921 91057842