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97244256 = 2531795659
BaseRepresentation
bin1011100101111…
…01010001100000
320202222112001010
411302331101200
5144343304011
613352140520
72260363644
oct562752140
9222875033
1097244256
114a98a05a
1228697740
13171ba3a5
14ccb4c24
15880d1a6
hex5cbd460

97244256 has 48 divisors (see below), whose sum is σ = 256737600. Its totient is φ = 32227968.

The previous prime is 97244243. The next prime is 97244293. The reversal of 97244256 is 65244279.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14355 + ... + 20013.

It is an arithmetic number, because the mean of its divisors is an integer number (5348700).

Almost surely, 297244256 is an apocalyptic number.

97244256 is a gapful number since it is divisible by the number (96) 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 97244256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128368800).

97244256 is an abundant number, since it is smaller than the sum of its proper divisors (159493344).

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

97244256 is a wasteful number, since it uses less digits than its factorization.

97244256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5843 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 97244256 is about 9861.2502249968. The cubic root of 97244256 is about 459.8554303095.

The spelling of 97244256 in words is "ninety-seven million, two hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5659 5728 8592 11318 16977 17184 22636 33954 45272 67908 90544 135816 181088 271632 543264 1012961 2025922 3038883 4051844 6077766 8103688 12155532 16207376 24311064 32414752 48622128 97244256