Search a number
-
+
64362048 = 2631013319
BaseRepresentation
bin1111010110000…
…1011001000000
311111002221010120
43311201121000
5112434041143
610215300240
71411032312
oct365413100
9144087116
1064362048
1133370183
121967a680
131044656a
1487957b2
1559b5383
hex3d61640

64362048 has 56 divisors (see below), whose sum is σ = 172029120. Its totient is φ = 21235200.

The previous prime is 64362043. The next prime is 64362071. The reversal of 64362048 is 84026346.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (64362043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17733 + ... + 21051.

Almost surely, 264362048 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 64362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86014560).

64362048 is an abundant number, since it is smaller than the sum of its proper divisors (107667072).

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

64362048 is a wasteful number, since it uses less digits than its factorization.

64362048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 64362048 is about 8022.5960885489. The cubic root of 64362048 is about 400.7528488243.

The spelling of 64362048 in words is "sixty-four million, three hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 2424 3232 3319 4848 6464 6638 9696 9957 13276 19392 19914 26552 39828 53104 79656 106208 159312 212416 318624 335219 637248 670438 1005657 1340876 2011314 2681752 4022628 5363504 8045256 10727008 16090512 21454016 32181024 64362048