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97195056 = 24372312577
BaseRepresentation
bin1011100101100…
…01010000110000
320202220000112220
411302301100300
5144340220211
613351121040
72260100340
oct562612060
9222800486
1097195056
114a9560a2
1228673180
13171a0b8a
14cca0d20
1587ed806
hex5cb1430

97195056 has 80 divisors (see below), whose sum is σ = 299457024. Its totient is φ = 26560512.

The previous prime is 97194997. The next prime is 97195081. The reversal of 97195056 is 65059179.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 97194999 and 97195017.

It is an unprimeable number.

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, 1440 + ... + 14016.

Almost surely, 297195056 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 97195056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149728512).

97195056 is an abundant number, since it is smaller than the sum of its proper divisors (202261968).

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

97195056 is a wasteful number, since it uses less digits than its factorization.

97195056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12618 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 97195056 is about 9858.7552966893. The cubic root of 97195056 is about 459.7778637611. Note that the first 3 decimals are identical.

The spelling of 97195056 in words is "ninety-seven million, one hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 12577 25154 37731 50308 75462 88039 100616 150924 176078 201232 264117 289271 301848 352156 528234 578542 603696 704312 867813 1056468 1157084 1408624 1735626 2024897 2112936 2314168 3471252 4049794 4225872 4628336 6074691 6942504 8099588 12149382 13885008 16199176 24298764 32398352 48597528 97195056