Search a number
-
+
91981232 = 2472235101
BaseRepresentation
bin1010111101110…
…00010110110000
320102002010112022
411132320112300
5142021344412
613043251012
72164553600
oct536702660
9212063468
1091981232
1147a14952
1226979a68
1316096985
14c304c00
15811da72
hex57b85b0

91981232 has 60 divisors (see below), whose sum is σ = 216365616. Its totient is φ = 37699200.

The previous prime is 91981231. The next prime is 91981249. The reversal of 91981232 is 23218919.

It is a junction number, because it is equal to n+sod(n) for n = 91981192 and 91981201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91981231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15482 + ... + 20582.

Almost surely, 291981232 is an apocalyptic number.

91981232 is a gapful number since it is divisible by the number (92) 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 91981232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108182808).

91981232 is an abundant number, since it is smaller than the sum of its proper divisors (124384384).

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

91981232 is a wasteful number, since it uses less digits than its factorization.

91981232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5133 counting only the distinct ones).

The product of its digits is 7776, while the sum is 35.

The square root of 91981232 is about 9590.6846470938. The cubic root of 91981232 is about 451.4050438292.

The spelling of 91981232 in words is "ninety-one million, nine hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 2254 2576 4508 5101 9016 10202 18032 20404 35707 40808 71414 81616 117323 142828 234646 249949 285656 469292 499898 571312 821261 938584 999796 1642522 1877168 1999592 3285044 3999184 5748827 6570088 11497654 13140176 22995308 45990616 91981232