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64402432 = 210109577
BaseRepresentation
bin1111010110101…
…1010000000000
311111011222112021
43311223100000
5112441334212
610220211224
71411261123
oct365532000
9144158467
1064402432
1133398556
1219699b14
131045ba63
1487a63ba
1559c2307
hex3d6b400

64402432 has 44 divisors (see below), whose sum is σ = 130148260. Its totient is φ = 31850496.

The previous prime is 64402427. The next prime is 64402463. The reversal of 64402432 is 23420446.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 6885376 = 7584^2 + 2624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64402397 and 64402406.

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 3 ways as a sum of consecutive naturals, for example, 111328 + ... + 111904.

It is an arithmetic number, because the mean of its divisors is an integer number (2957915).

Almost surely, 264402432 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 64402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65074130).

64402432 is an abundant number, since it is smaller than the sum of its proper divisors (65745828).

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

64402432 is a wasteful number, since it uses less digits than its factorization.

64402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 64402432 is about 8025.1125848800. The cubic root of 64402432 is about 400.8366488268.

Adding to 64402432 its reverse (23420446), we get a palindrome (87822878).

The spelling of 64402432 in words is "sixty-four million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 512 577 872 1024 1154 1744 2308 3488 4616 6976 9232 13952 18464 27904 36928 55808 62893 73856 111616 125786 147712 251572 295424 503144 590848 1006288 2012576 4025152 8050304 16100608 32201216 64402432