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65004272 = 2431831579
BaseRepresentation
bin1111011111111…
…0001011110000
311112022120002122
43313332023300
5113120114042
610241133412
71416345554
oct367761360
9145276078
1065004272
1133769743
121992a268
131060c988
1488c1864
155a907d2
hex3dfe2f0

65004272 has 40 divisors (see below), whose sum is σ = 131658240. Its totient is φ = 31055040.

The previous prime is 65004239. The next prime is 65004293. The reversal of 65004272 is 27240056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40379 + ... + 41957.

It is an arithmetic number, because the mean of its divisors is an integer number (3291456).

Almost surely, 265004272 is an apocalyptic number.

65004272 is a gapful number since it is divisible by the number (62) 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 65004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65829120).

65004272 is an abundant number, since it is smaller than the sum of its proper divisors (66653968).

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

65004272 is a wasteful number, since it uses less digits than its factorization.

65004272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 65004272 is about 8062.5226821386. The cubic root of 65004272 is about 402.0813841482.

The spelling of 65004272 in words is "sixty-five million, four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 31 62 83 124 166 248 332 496 664 1328 1579 2573 3158 5146 6316 10292 12632 20584 25264 41168 48949 97898 131057 195796 262114 391592 524228 783184 1048456 2096912 4062767 8125534 16251068 32502136 65004272