Search a number
-
+
193145456 = 2472673677
BaseRepresentation
bin10111000001100…
…10101001110000
3111110102210202102
423200302221300
5343421123311
631055435532
74533465200
oct1340625160
9443383672
10193145456
119a031049
1254825ba8
133102736a
141b91a400
1511e5343b
hexb832a70

193145456 has 60 divisors (see below), whose sum is σ = 441933768. Its totient is φ = 81518976.

The previous prime is 193145453. The next prime is 193145471. The reversal of 193145456 is 654541391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193145453) 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, 50690 + ... + 54366.

Almost surely, 2193145456 is an apocalyptic number.

193145456 is a gapful number since it is divisible by the number (16) 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 193145456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220966884).

193145456 is an abundant number, since it is smaller than the sum of its proper divisors (248788312).

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

193145456 is a wasteful number, since it uses less digits than its factorization.

193145456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3753 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 193145456 is about 13897.6780794491. The cubic root of 193145456 is about 578.0447996310.

The spelling of 193145456 in words is "one hundred ninety-three million, one hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 98 112 134 196 268 392 469 536 784 938 1072 1876 3283 3677 3752 6566 7354 7504 13132 14708 25739 26264 29416 51478 52528 58832 102956 180173 205912 246359 360346 411824 492718 720692 985436 1441384 1724513 1970872 2882768 3449026 3941744 6898052 12071591 13796104 24143182 27592208 48286364 96572728 193145456