Search a number
-
+
91038738 = 23723731291
BaseRepresentation
bin1010110110100…
…10010000010010
320100022020200010
411123102100102
5141301214423
613011135350
72153550030
oct533222022
9210266603
1091038738
114743082a
12265a4556
1315b2699b
14c13b550
157ed4693
hex56d2412

91038738 has 64 divisors (see below), whose sum is σ = 220280832. Its totient is φ = 24520320.

The previous prime is 91038691. The next prime is 91038751. The reversal of 91038738 is 83783019.

It is a super-3 number, since 3×910387383 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 91038696 and 91038705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69873 + ... + 71163.

It is an arithmetic number, because the mean of its divisors is an integer number (3441888).

Almost surely, 291038738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91038738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110140416).

91038738 is an abundant number, since it is smaller than the sum of its proper divisors (129242094).

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

91038738 is a wasteful number, since it uses less digits than its factorization.

91038738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 91038738 is about 9541.4222210318. The cubic root of 91038738 is about 449.8579601089.

The spelling of 91038738 in words is "ninety-one million, thirty-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 73 138 146 161 219 322 438 483 511 966 1022 1291 1533 1679 2582 3066 3358 3873 5037 7746 9037 10074 11753 18074 23506 27111 29693 35259 54222 59386 70518 89079 94243 178158 188486 207851 282729 415702 565458 623553 659701 1247106 1319402 1979103 2167589 3958206 4335178 6502767 13005534 15173123 30346246 45519369 91038738