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65483232 = 25341127131
BaseRepresentation
bin1111100111001…
…1000111100000
311120012220002220
43321303013200
5113230430412
610255311040
71423412133
oct371630740
9146186086
1065483232
1133a66581
1219b1b480
1310749999
1489a821a
155b3768c
hex3e731e0

65483232 has 96 divisors (see below), whose sum is σ = 178827264. Its totient is φ = 20966400.

The previous prime is 65483213. The next prime is 65483293. The reversal of 65483232 is 23238456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 65483193 and 65483202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499807 + ... + 499937.

It is an arithmetic number, because the mean of its divisors is an integer number (1862784).

Almost surely, 265483232 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 65483232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89413632).

65483232 is an abundant number, since it is smaller than the sum of its proper divisors (113344032).

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

65483232 is a wasteful number, since it uses less digits than its factorization.

65483232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 65483232 is about 8092.1710313117. The cubic root of 65483232 is about 403.0664980666.

The spelling of 65483232 in words is "sixty-five million, four hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 127 131 164 246 254 262 328 381 393 492 508 524 656 762 786 984 1016 1048 1312 1524 1572 1968 2032 2096 3048 3144 3936 4064 4192 5207 5371 6096 6288 10414 10742 12192 12576 15621 16113 16637 20828 21484 31242 32226 33274 41656 42968 49911 62484 64452 66548 83312 85936 99822 124968 128904 133096 166624 171872 199644 249936 257808 266192 399288 499872 515616 532384 682117 798576 1364234 1597152 2046351 2728468 4092702 5456936 8185404 10913872 16370808 21827744 32741616 65483232