Search a number
-
+
193668592 = 24132671069
BaseRepresentation
bin10111000101100…
…10010111110000
3111111102101100211
423202302113300
5344034343332
631114553504
74541104315
oct1342622760
9444371324
10193668592
119a359097
1254a38894
133117b500
141ba14d0c
1512008447
hexb8b25f0

193668592 has 60 divisors (see below), whose sum is σ = 412767480. Its totient is φ = 87969024.

The previous prime is 193668571. The next prime is 193668593. The reversal of 193668592 is 295866391.

193668592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193668593) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180634 + ... + 181702.

It is an arithmetic number, because the mean of its divisors is an integer number (6879458).

Almost surely, 2193668592 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 193668592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206383740).

193668592 is an abundant number, since it is smaller than the sum of its proper divisors (219098888).

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

193668592 is a wasteful number, since it uses less digits than its factorization.

193668592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1151 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The square root of 193668592 is about 13916.4863381530. The cubic root of 193668592 is about 578.5662088090.

The spelling of 193668592 in words is "one hundred ninety-three million, six hundred sixty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 169 208 268 338 536 676 871 1069 1072 1352 1742 2138 2704 3484 4276 6968 8552 11323 13897 13936 17104 22646 27794 45292 55588 71623 90584 111176 143246 180661 181168 222352 286492 361322 572984 722644 931099 1145968 1445288 1862198 2890576 3724396 7448792 12104287 14897584 24208574 48417148 96834296 193668592