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71625064 = 2372892053
BaseRepresentation
bin1000100010011…
…10100101101000
311222202221010011
410101032211220
5121314000224
611035101304
71526542300
oct421164550
9158687104
1071625064
1137480a75
121bba1834
1311aba3c4
149726600
15644c394
hex444e968

71625064 has 48 divisors (see below), whose sum is σ = 158055300. Its totient is φ = 30336768.

The previous prime is 71625061. The next prime is 71625089. The reversal of 71625064 is 46052617.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 69856164 + 1768900 = 8358^2 + 1330^2 .

It is not an unprimeable number, because it can be changed into a prime (71625061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33862 + ... + 35914.

Almost surely, 271625064 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 71625064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79027650).

71625064 is an abundant number, since it is smaller than the sum of its proper divisors (86430236).

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

71625064 is a wasteful number, since it uses less digits than its factorization.

71625064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 71625064 is about 8463.1592210002. The cubic root of 71625064 is about 415.2933794276.

The spelling of 71625064 in words is "seventy-one million, six hundred twenty-five thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 356 392 623 712 1246 2053 2492 4106 4361 4984 8212 8722 14371 16424 17444 28742 34888 57484 100597 114968 182717 201194 365434 402388 730868 804776 1279019 1461736 2558038 5116076 8953133 10232152 17906266 35812532 71625064