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65214352 = 2475971139
BaseRepresentation
bin1111100011000…
…1011110010000
311112201020021101
43320301132100
5113143324402
610245434144
71421212210
oct370613620
9145636241
1065214352
11338a2565
1219a0b954
1310684498
148938240
155ad2b87
hex3e31790

65214352 has 80 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 26893440.

The previous prime is 65214341. The next prime is 65214353. The reversal of 65214352 is 25341256.

65214352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 65214352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65214353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 469099 + ... + 469237.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 265214352 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 65214352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

65214352 is an abundant number, since it is smaller than the sum of its proper divisors (84776048).

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

65214352 is a wasteful number, since it uses less digits than its factorization.

65214352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 65214352 is about 8075.5403534377. The cubic root of 65214352 is about 402.5140655810.

The spelling of 65214352 in words is "sixty-five million, two hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 71 112 118 139 142 236 278 284 413 472 497 556 568 826 944 973 994 1112 1136 1652 1946 1988 2224 3304 3892 3976 4189 6608 7784 7952 8201 8378 9869 15568 16402 16756 19738 29323 32804 33512 39476 57407 58646 65608 67024 69083 78952 114814 117292 131216 138166 157904 229628 234584 276332 459256 469168 552664 582271 918512 1105328 1164542 2329084 4075897 4658168 8151794 9316336 16303588 32607176 65214352