Search a number
-
+
192891424 = 25112311607
BaseRepresentation
bin10110111111101…
…00101000100000
3111102221220021211
423133310220200
5343340011144
631050155504
74531356445
oct1337645040
9442856254
10192891424
1199978200
1254722b94
1330c6884b
141b8919cc
1511e03034
hexb7f4a20

192891424 has 72 divisors (see below), whose sum is σ = 431149824. Its totient is φ = 84796800.

The previous prime is 192891373. The next prime is 192891427. The reversal of 192891424 is 424198291.

192891424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (192891427) 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, 119229 + ... + 120835.

It is an arithmetic number, because the mean of its divisors is an integer number (5988192).

Almost surely, 2192891424 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 192891424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215574912).

192891424 is an abundant number, since it is smaller than the sum of its proper divisors (238258400).

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

192891424 is a wasteful number, since it uses less digits than its factorization.

192891424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1651 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 192891424 is about 13888.5357039538. The cubic root of 192891424 is about 577.7912665271.

The spelling of 192891424 in words is "one hundred ninety-two million, eight hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 121 124 176 242 248 341 352 484 496 682 968 992 1364 1607 1936 2728 3214 3751 3872 5456 6428 7502 10912 12856 15004 17677 25712 30008 35354 49817 51424 60016 70708 99634 120032 141416 194447 199268 282832 388894 398536 547987 565664 777788 797072 1095974 1555576 1594144 2191948 3111152 4383896 6027857 6222304 8767792 12055714 17535584 24111428 48222856 96445712 192891424