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65235248 = 2413476673
BaseRepresentation
bin1111100011011…
…0100100110000
311112202021221022
43320312210300
5113200011443
610250115012
71421330141
oct370664460
9145667838
1065235248
1133907231
1219a1ba68
1310690b50
148941ac8
155ad8e68
hex3e36930

65235248 has 40 divisors (see below), whose sum is σ = 139032768. Its totient is φ = 29463552.

The previous prime is 65235221. The next prime is 65235251. The reversal of 65235248 is 84253256.

65235248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6440 + ... + 13112.

Almost surely, 265235248 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 65235248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69516384).

65235248 is an abundant number, since it is smaller than the sum of its proper divisors (73797520).

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

65235248 is a wasteful number, since it uses less digits than its factorization.

65235248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6741 (or 6735 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 65235248 is about 8076.8340332088. The cubic root of 65235248 is about 402.5570522114.

The spelling of 65235248 in words is "sixty-five million, two hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1222 2444 4888 6673 9776 13346 26692 53384 86749 106768 173498 313631 346996 627262 693992 1254524 1387984 2509048 4077203 5018096 8154406 16308812 32617624 65235248