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65656444 = 22723269379
BaseRepresentation
bin1111101001110…
…1011001111100
311120112200201011
43322131121330
5113302001234
610303125004
71425033130
oct372353174
9146480634
1065656444
1134074727
1219ba3764
13107aa789
148a113c0
155b6db64
hex3e9d67c

65656444 has 48 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 26744256.

The previous prime is 65656427. The next prime is 65656489. The reversal of 65656444 is 44465656.

It is a junction number, because it is equal to n+sod(n) for n = 65656397 and 65656406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173047 + ... + 173425.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 265656444 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 65656444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

65656444 is an abundant number, since it is smaller than the sum of its proper divisors (72237956).

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

65656444 is a wasteful number, since it uses less digits than its factorization.

65656444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 680 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The square root of 65656444 is about 8102.8664064021. The cubic root of 65656444 is about 403.4215736327.

The spelling of 65656444 in words is "sixty-five million, six hundred fifty-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 269 322 379 538 644 758 1076 1516 1883 2653 3766 5306 6187 7532 8717 10612 12374 17434 24748 34868 43309 61019 86618 101951 122038 173236 203902 244076 407804 713657 1427314 2344873 2854628 4689746 9379492 16414111 32828222 65656444