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65554016 = 2511436171
BaseRepresentation
bin1111101000010…
…0011001100000
311120100111012112
43322010121200
5113240212031
610301014452
71424125403
oct372043140
9146314175
1065554016
1134004780
1219b54428
1310772c78
1489c5d3a
155b4d62b
hex3e84660

65554016 has 96 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 28224000.

The previous prime is 65554003. The next prime is 65554019. The reversal of 65554016 is 61045556.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65554019) 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 15 ways as a sum of consecutive naturals, for example, 923261 + ... + 923331.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 265554016 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 65554016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

65554016 is an abundant number, since it is smaller than the sum of its proper divisors (82936480).

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

65554016 is a wasteful number, since it uses less digits than its factorization.

65554016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 65554016 is about 8096.5434600205. The cubic root of 65554016 is about 403.2116771414.

It can be divided in two parts, 655540 and 16, that added together give a palindrome (655556).

The spelling of 65554016 in words is "sixty-five million, five hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 43 44 61 71 86 88 122 142 172 176 244 284 344 352 473 488 568 671 688 781 946 976 1136 1342 1376 1562 1892 1952 2272 2623 2684 3053 3124 3784 4331 5246 5368 6106 6248 7568 8662 10492 10736 12212 12496 15136 17324 20984 21472 24424 24992 28853 33583 34648 41968 47641 48848 57706 67166 69296 83936 95282 97696 115412 134332 138592 186233 190564 230824 268664 372466 381128 461648 537328 744932 762256 923296 1074656 1489864 1524512 2048563 2979728 4097126 5959456 8194252 16388504 32777008 65554016