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71445152 = 2517612153
BaseRepresentation
bin1000100001000…
…10101010100000
311222102210022202
410100202222200
5121242221102
611031152332
71525162622
oct420425240
9158383282
1071445152
1137368889
121bb156a8
1311a5654c
1496bac12
156413e02
hex4422aa0

71445152 has 48 divisors (see below), whose sum is σ = 151443432. Its totient is φ = 33054720.

The previous prime is 71445139. The next prime is 71445161. The reversal of 71445152 is 25154417.

It can be written as a sum of positive squares in 4 ways, for example, as 34527376 + 36917776 = 5876^2 + 6076^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32108 + ... + 34260.

Almost surely, 271445152 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 71445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75721716).

71445152 is an abundant number, since it is smaller than the sum of its proper divisors (79998280).

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

71445152 is a wasteful number, since it uses less digits than its factorization.

71445152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2233 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 71445152 is about 8452.5234102012. The cubic root of 71445152 is about 414.9453685283.

Adding to 71445152 its reverse (25154417), we get a palindrome (96599569).

The spelling of 71445152 in words is "seventy-one million, four hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 61 68 122 136 244 272 488 544 976 1037 1952 2074 2153 4148 4306 8296 8612 16592 17224 33184 34448 36601 68896 73202 131333 146404 262666 292808 525332 585616 1050664 1171232 2101328 2232661 4202656 4465322 8930644 17861288 35722576 71445152