Search a number
-
+
64074042 = 23219434357
BaseRepresentation
bin1111010001101…
…1000100111010
311110120022001200
43310123010322
5112400332132
610205155030
71405422534
oct364330472
9143508050
1064074042
113319385a
121955ba76
1310375446
14871c854
155959d7c
hex3d1b13a

64074042 has 48 divisors (see below), whose sum is σ = 149566560. Its totient is φ = 19758816.

The previous prime is 64074007. The next prime is 64074077. The reversal of 64074042 is 24047046.

It is an interprime number because it is at equal distance from previous prime (64074007) and next prime (64074077).

It is a junction number, because it is equal to n+sod(n) for n = 64073997 and 64074015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12528 + ... + 16884.

It is an arithmetic number, because the mean of its divisors is an integer number (3115970).

Almost surely, 264074042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64074042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74783280).

64074042 is an abundant number, since it is smaller than the sum of its proper divisors (85492518).

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

64074042 is a wasteful number, since it uses less digits than its factorization.

64074042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 64074042 is about 8004.6262873416. The cubic root of 64074042 is about 400.1541947190.

The spelling of 64074042 in words is "sixty-four million, seventy-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 774 817 1634 2451 4357 4902 7353 8714 13071 14706 26142 39213 78426 82783 165566 187351 248349 374702 496698 562053 745047 1124106 1490094 1686159 3372318 3559669 7119338 10679007 21358014 32037021 64074042