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65545216 = 210112232
BaseRepresentation
bin1111101000001…
…0010000000000
311120100001010121
43322002100000
5113234421331
610300510024
71424060632
oct372022000
9146301117
1065545216
1133aa9100
1219b4b314
131076bc69
1489c2a52
155b4ac11
hex3e82400

65545216 has 99 divisors (see below), whose sum is σ = 150554803. Its totient is φ = 28497920.

The previous prime is 65545199. The next prime is 65545219. The reversal of 65545216 is 61254556.

The square root of 65545216 is 8096.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

Its product of digits (36000) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (65545219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2849781 + ... + 2849803.

Almost surely, 265545216 is an apocalyptic number.

65545216 is the 8096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65545216

65545216 is an abundant number, since it is smaller than the sum of its proper divisors (85009587).

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

65545216 is a wasteful number, since it uses less digits than its factorization.

65545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The cubic root of 65545216 is about 403.1936338963.

The spelling of 65545216 in words is "sixty-five million, five hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 128 176 184 242 253 256 352 368 484 506 512 529 704 736 968 1012 1024 1058 1408 1472 1936 2024 2116 2783 2816 2944 3872 4048 4232 5566 5632 5819 5888 7744 8096 8464 11132 11264 11638 11776 15488 16192 16928 22264 23276 23552 30976 32384 33856 44528 46552 61952 64009 64768 67712 89056 93104 123904 128018 129536 135424 178112 186208 256036 259072 270848 356224 372416 512072 541696 712448 744832 1024144 1424896 1489664 2048288 2849792 2979328 4096576 5958656 8193152 16386304 32772608 65545216