Search a number
-
+
642031992 = 233273734429
BaseRepresentation
bin100110010001001…
…010000101111000
31122202002121022200
4212101022011320
52303330010432
6143412550200
721624116250
oct4621120570
91582077280
10642031992
112aa457158
1215b022360
13a30242b4
14613a8960
153b571a7c
hex2644a178

642031992 has 96 divisors (see below), whose sum is σ = 2041010400. Its totient is φ = 178474752.

The previous prime is 642031991. The next prime is 642032023. The reversal of 642031992 is 299130246.

642031992 is a `hidden beast` number, since 642 + 0 + 3 + 1 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642031991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1434 + ... + 35862.

It is an arithmetic number, because the mean of its divisors is an integer number (21260525).

Almost surely, 2642031992 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 642031992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020505200).

642031992 is an abundant number, since it is smaller than the sum of its proper divisors (1398978408).

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

642031992 is a wasteful number, since it uses less digits than its factorization.

642031992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34485 (or 34478 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 642031992 is about 25338.3502225382. The cubic root of 642031992 is about 862.6849529008.

The spelling of 642031992 in words is "six hundred forty-two million, thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1554 2072 2331 2664 3108 4662 6216 9324 18648 34429 68858 103287 137716 206574 241003 275432 309861 413148 482006 619722 723009 826296 964012 1239444 1273873 1446018 1928024 2169027 2478888 2547746 2892036 3821619 4338054 5095492 5784072 7643238 8676108 8917111 10190984 11464857 15286476 17352216 17834222 22929714 26751333 30572952 35668444 45859428 53502666 71336888 80253999 91718856 107005332 160507998 214010664 321015996 642031992