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71552152 = 23721671093
BaseRepresentation
bin1000100001111…
…00110010011000
311222122020002201
410100330302120
5121304132102
611033335544
71526116600
oct420746230
9158566081
1071552152
1137431211
121bb675b4
1311a93169
149707c00
156435987
hex443cc98

71552152 has 48 divisors (see below), whose sum is σ = 157142160. Its totient is φ = 30453696.

The previous prime is 71552111. The next prime is 71552161. The reversal of 71552152 is 25125517.

It is a super-2 number, since 2×715521522 = 10239420911662208, which contains 22 as substring.

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 71552152.

It is a congruent number.

It is an unprimeable number.

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, 64918 + ... + 66010.

It is an arithmetic number, because the mean of its divisors is an integer number (3273795).

Almost surely, 271552152 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 71552152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78571080).

71552152 is an abundant number, since it is smaller than the sum of its proper divisors (85590008).

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

71552152 is a wasteful number, since it uses less digits than its factorization.

71552152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

The product of its digits is 3500, while the sum is 28.

The square root of 71552152 is about 8458.8505129243. The cubic root of 71552152 is about 415.1524131715.

Adding to 71552152 its reverse (25125517), we get a palindrome (96677669).

The spelling of 71552152 in words is "seventy-one million, five hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 167 196 334 392 668 1093 1169 1336 2186 2338 4372 4676 7651 8183 8744 9352 15302 16366 30604 32732 53557 61208 65464 107114 182531 214228 365062 428456 730124 1277717 1460248 2555434 5110868 8944019 10221736 17888038 35776076 71552152