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65764096 = 283753131
BaseRepresentation
bin1111101011011…
…1101100000000
311120202011101021
43322313230000
5113313422341
610305315224
71425662026
oct372675400
9146664337
1065764096
11341385a2
121a035b14
1310817788
148a3c716
155b909d1
hex3eb7b00

65764096 has 72 divisors (see below), whose sum is σ = 138411504. Its totient is φ = 31150080.

The previous prime is 65764093. The next prime is 65764121. The reversal of 65764096 is 69046756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65764091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501951 + ... + 502081.

It is an arithmetic number, because the mean of its divisors is an integer number (1922382).

Almost surely, 265764096 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 65764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69205752).

65764096 is an abundant number, since it is smaller than the sum of its proper divisors (72647408).

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

65764096 is a wasteful number, since it uses less digits than its factorization.

65764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 65764096 is about 8109.5065201281. The cubic root of 65764096 is about 403.6419400449.

The spelling of 65764096 in words is "sixty-five million, seven hundred sixty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 128 131 148 212 256 262 296 424 524 592 848 1048 1184 1696 1961 2096 2368 3392 3922 4192 4736 4847 6784 6943 7844 8384 9472 9694 13568 13886 15688 16768 19388 27772 31376 33536 38776 55544 62752 77552 111088 125504 155104 222176 251008 256891 310208 444352 502016 513782 620416 888704 1027564 1240832 1777408 2055128 4110256 8220512 16441024 32882048 65764096