Search a number
-
+
64923642 = 2327618447
BaseRepresentation
bin1111011110101…
…0011111111010
311112011110111100
43313222133322
5113110024032
610235312230
71415561520
oct367523772
9145143440
1064923642
1133714103
12198ab676
13105b2074
1488a0310
155a7697c
hex3dea7fa

64923642 has 48 divisors (see below), whose sum is σ = 163418112. Its totient is φ = 18243360.

The previous prime is 64923619. The next prime is 64923647. The reversal of 64923642 is 24632946.

64923642 is a `hidden beast` number, since 6 + 4 + 9 + 2 + 3 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64923597 and 64923606.

It is not an unprimeable number, because it can be changed into a prime (64923647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3463 + ... + 11909.

It is an arithmetic number, because the mean of its divisors is an integer number (3404544).

Almost surely, 264923642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64923642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81709056).

64923642 is an abundant number, since it is smaller than the sum of its proper divisors (98494470).

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

64923642 is a wasteful number, since it uses less digits than its factorization.

64923642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8523 (or 8520 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 64923642 is about 8057.5208345992. The cubic root of 64923642 is about 401.9150707940.

The spelling of 64923642 in words is "sixty-four million, nine hundred twenty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 3843 7686 8447 16894 25341 50682 59129 76023 118258 152046 177387 354774 515267 532161 1030534 1064322 1545801 3091602 3606869 4637403 7213738 9274806 10820607 21641214 32461821 64923642