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97596144 = 2433263859
BaseRepresentation
bin1011101000100…
…11001011110000
320210122101202000
411310103023300
5144441034034
613403454000
72263360602
oct564231360
9223571660
1097596144
11500aa478
1228827300
13172b15c9
14cd67172
15887c599
hex5d132f0

97596144 has 80 divisors (see below), whose sum is σ = 281529600. Its totient is φ = 32370624.

The previous prime is 97596127. The next prime is 97596193. The reversal of 97596144 is 44169579.

It is a self number, because there is not a number n which added to its sum of digits gives 97596144.

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 15 ways as a sum of consecutive naturals, for example, 113187 + ... + 114045.

It is an arithmetic number, because the mean of its divisors is an integer number (3519120).

Almost surely, 297596144 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 97596144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140764800).

97596144 is an abundant number, since it is smaller than the sum of its proper divisors (183933456).

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

97596144 is a wasteful number, since it uses less digits than its factorization.

97596144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1127 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 97596144 is about 9879.0760701596. The cubic root of 97596144 is about 460.4094401173.

The spelling of 97596144 in words is "ninety-seven million, five hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 263 432 526 789 859 1052 1578 1718 2104 2367 2577 3156 3436 4208 4734 5154 6312 6872 7101 7731 9468 10308 12624 13744 14202 15462 18936 20616 23193 28404 30924 37872 41232 46386 56808 61848 92772 113616 123696 185544 225917 371088 451834 677751 903668 1355502 1807336 2033253 2711004 3614672 4066506 5422008 6099759 8133012 10844016 12199518 16266024 24399036 32532048 48798072 97596144