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65235968 = 210719479
BaseRepresentation
bin1111100011011…
…0110000000000
311112202022220222
43320312300000
5113200022333
610250122212
71421332220
oct370666000
9145668828
1065235968
1133907826
1219a20368
1310691285
148942080
155ad9298
hex3e36c00

65235968 has 88 divisors (see below), whose sum is σ = 157209600. Its totient is φ = 26431488.

The previous prime is 65235967. The next prime is 65235971. The reversal of 65235968 is 86953256.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (65235967) 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 7 ways as a sum of consecutive naturals, for example, 135953 + ... + 136431.

Almost surely, 265235968 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 65235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78604800).

65235968 is an abundant number, since it is smaller than the sum of its proper divisors (91973632).

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

65235968 is a wasteful number, since it uses less digits than its factorization.

65235968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 507 counting only the distinct ones).

The product of its digits is 388800, while the sum is 44.

The square root of 65235968 is about 8076.8786050058. The cubic root of 65235968 is about 402.5585332104.

The spelling of 65235968 in words is "sixty-five million, two hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 479 512 532 608 896 958 1024 1064 1216 1792 1916 2128 2432 3353 3584 3832 4256 4864 6706 7168 7664 8512 9101 9728 13412 15328 17024 18202 19456 26824 30656 34048 36404 53648 61312 63707 68096 72808 107296 122624 127414 136192 145616 214592 245248 254828 291232 429184 490496 509656 582464 858368 1019312 1164928 1716736 2038624 2329856 3433472 4077248 4659712 8154496 9319424 16308992 32617984 65235968