Search a number
-
+
97194864 = 243131091429
BaseRepresentation
bin1011100101100…
…01001101110000
320202220000021210
411302301031300
5144340213424
613351120120
72260066644
oct562611560
9222800253
1097194864
114a955a38
1228673040
13171a0a70
14cca0c24
1587ed729
hex5cb1370

97194864 has 80 divisors (see below), whose sum is σ = 273072800. Its totient is φ = 29611008.

The previous prime is 97194857. The next prime is 97194869. The reversal of 97194864 is 46849179.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97194869) by changing a digit.

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, 67302 + ... + 68730.

It is an arithmetic number, because the mean of its divisors is an integer number (3413410).

Almost surely, 297194864 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 97194864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136536400).

97194864 is an abundant number, since it is smaller than the sum of its proper divisors (175877936).

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

97194864 is a wasteful number, since it uses less digits than its factorization.

97194864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1556 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 97194864 is about 9858.7455591470. The cubic root of 97194864 is about 459.7775610111. Note that the first 3 decimals are identical.

The spelling of 97194864 in words is "ninety-seven million, one hundred ninety-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 156 208 218 312 327 436 624 654 872 1308 1417 1429 1744 2616 2834 2858 4251 4287 5232 5668 5716 8502 8574 11336 11432 17004 17148 18577 22672 22864 34008 34296 37154 55731 68016 68592 74308 111462 148616 155761 222924 297232 311522 445848 467283 623044 891696 934566 1246088 1869132 2024893 2492176 3738264 4049786 6074679 7476528 8099572 12149358 16199144 24298716 32398288 48597432 97194864