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91422144 = 26321147307
BaseRepresentation
bin1010111001011…
…11110111000000
320101000201121100
411130233313000
5141401002034
613023254400
72160034602
oct534576700
9211021540
1091422144
11476728a0
122674a400
1315c2c358
14c1db172
15805d099
hex572fdc0

91422144 has 168 divisors, whose sum is σ = 292900608. Its totient is φ = 27025920.

The previous prime is 91422139. The next prime is 91422151. The reversal of 91422144 is 44122419.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 297639 + ... + 297945.

It is an arithmetic number, because the mean of its divisors is an integer number (1743456).

Almost surely, 291422144 is an apocalyptic number.

91422144 is a gapful number since it is divisible by the number (94) 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 91422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146450304).

91422144 is an abundant number, since it is smaller than the sum of its proper divisors (201478464).

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

91422144 is a wasteful number, since it uses less digits than its factorization.

91422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 91422144 is about 9561.4927704831. The cubic root of 91422144 is about 450.4885952333.

The spelling of 91422144 in words is "ninety-one million, four hundred twenty-two thousand, one hundred forty-four".