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65384704 = 2871131107
BaseRepresentation
bin1111100101101…
…1000100000000
311120000212221201
43321123010000
5113214302304
610253230544
71422521650
oct371330400
9146025851
1065384704
11339a9550
1219a92454
1310713b98
148980360
155b183a4
hex3e5b100

65384704 has 144 divisors (see below), whose sum is σ = 169537536. Its totient is φ = 24422400.

The previous prime is 65384687. The next prime is 65384707. The reversal of 65384704 is 40748356.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (65384707) 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, 611019 + ... + 611125.

It is an arithmetic number, because the mean of its divisors is an integer number (1177344).

Almost surely, 265384704 is an apocalyptic number.

65384704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84768768).

65384704 is an abundant number, since it is smaller than the sum of its proper divisors (104152832).

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

65384704 is a wasteful number, since it uses less digits than its factorization.

65384704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 65384704 is about 8086.0808801298. The cubic root of 65384704 is about 402.8642413498.

The spelling of 65384704 in words is "sixty-five million, three hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 107 112 124 128 154 176 214 217 224 248 256 308 341 352 428 434 448 496 616 682 704 749 856 868 896 992 1177 1232 1364 1408 1498 1712 1736 1792 1984 2354 2387 2464 2728 2816 2996 3317 3424 3472 3968 4708 4774 4928 5456 5992 6634 6848 6944 7936 8239 9416 9548 9856 10912 11984 13268 13696 13888 16478 18832 19096 19712 21824 23219 23968 26536 27392 27776 32956 36487 37664 38192 43648 46438 47936 53072 55552 65912 72974 75328 76384 87296 92876 95872 106144 131824 145948 150656 152768 185752 191744 212288 255409 263648 291896 301312 305536 371504 424576 510818 527296 583792 611072 743008 849152 1021636 1054592 1167584 1486016 2043272 2109184 2335168 2972032 4086544 4670336 5944064 8173088 9340672 16346176 32692352 65384704