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65148304 = 2413973229
BaseRepresentation
bin1111100010000…
…1010110010000
311112120212200011
43320201112100
5113134221204
610244204304
71420515514
oct370412620
9145525604
1065148304
1133857981
1219999694
13106603c0
14891c144
155abd304
hex3e21590

65148304 has 40 divisors (see below), whose sum is σ = 137378360. Its totient is φ = 29749248.

The previous prime is 65148299. The next prime is 65148323. The reversal of 65148304 is 40384156.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 313600 + 64834704 = 560^2 + 8052^2 .

It is a congruent number.

It is an unprimeable number.

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, 18562 + ... + 21790.

It is an arithmetic number, because the mean of its divisors is an integer number (3434459).

Almost surely, 265148304 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 65148304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68689180).

65148304 is an abundant number, since it is smaller than the sum of its proper divisors (72230056).

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

65148304 is a wasteful number, since it uses less digits than its factorization.

65148304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 65148304 is about 8071.4499317037. The cubic root of 65148304 is about 402.3781331864.

The spelling of 65148304 in words is "sixty-five million, one hundred forty-eight thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1552 2522 3229 5044 6458 10088 12916 20176 25832 41977 51664 83954 167908 313213 335816 626426 671632 1252852 2505704 4071769 5011408 8143538 16287076 32574152 65148304