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65144500 = 22531131153
BaseRepresentation
bin1111100010000…
…0011010110100
311112120200110021
43320200122310
5113134111000
610244134524
71420501441
oct370403264
9145520407
1065144500
1133855033
1219997444
131065b755
14891a9c8
155abc11a
hex3e206b4

65144500 has 48 divisors (see below), whose sum is σ = 143659152. Its totient is φ = 25804800.

The previous prime is 65144477. The next prime is 65144503. The reversal of 65144500 is 544156.

It can be written as a sum of positive squares in 8 ways, for example, as 32012964 + 33131536 = 5658^2 + 5756^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65144503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55924 + ... + 57076.

It is an arithmetic number, because the mean of its divisors is an integer number (2992899).

Almost surely, 265144500 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 65144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71829576).

65144500 is an abundant number, since it is smaller than the sum of its proper divisors (78514652).

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

65144500 is a wasteful number, since it uses less digits than its factorization.

65144500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 65144500 is about 8071.2142828697. The cubic root of 65144500 is about 402.3703014338.

Adding to 65144500 its reverse (544156), we get a palindrome (65688656).

The spelling of 65144500 in words is "sixty-five million, one hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 125 226 250 452 500 565 1130 1153 2260 2306 2825 4612 5650 5765 11300 11530 14125 23060 28250 28825 56500 57650 115300 130289 144125 260578 288250 521156 576500 651445 1302890 2605780 3257225 6514450 13028900 16286125 32572250 65144500