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91431312 = 2437416637
BaseRepresentation
bin1010111001100…
…10000110010000
320101001012011220
411130302012100
5141401300222
613023405040
72160103410
oct534620620
9211035156
1091431312
1147679775
1226753780
1315c3358b
14c200640
158060b5c
hex5732190

91431312 has 80 divisors (see below), whose sum is σ = 276565632. Its totient is φ = 25482240.

The previous prime is 91431293. The next prime is 91431313. The reversal of 91431312 is 21313419.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (91431313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10458 + ... + 17094.

Almost surely, 291431312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138282816).

91431312 is an abundant number, since it is smaller than the sum of its proper divisors (185134320).

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

91431312 is a wasteful number, since it uses less digits than its factorization.

91431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696 (or 6690 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 91431312 is about 9561.9721815115. The cubic root of 91431312 is about 450.5036533698.

The spelling of 91431312 in words is "ninety-one million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6637 6888 13274 13776 19911 26548 39822 46459 53096 79644 92918 106192 139377 159288 185836 272117 278754 318576 371672 544234 557508 743344 816351 1088468 1115016 1632702 1904819 2176936 2230032 3265404 3809638 4353872 5714457 6530808 7619276 11428914 13061616 15238552 22857828 30477104 45715656 91431312