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71253252 = 223272311303
BaseRepresentation
bin1000011111100…
…11110100000100
311222002001002100
410033303310010
5121220101002
611023112100
71523433300
oct417636404
9158061070
1071253252
1137247694
121ba42630
13119ba0b5
14966ad00
1563c711c
hex43f3d04

71253252 has 108 divisors (see below), whose sum is σ = 216443136. Its totient is φ = 19686240.

The previous prime is 71253251. The next prime is 71253263. The reversal of 71253252 is 25235217.

It is not an unprimeable number, because it can be changed into a prime (71253251) 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 35 ways as a sum of consecutive naturals, for example, 54033 + ... + 55335.

Almost surely, 271253252 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 71253252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108221568).

71253252 is an abundant number, since it is smaller than the sum of its proper divisors (145189884).

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

71253252 is a wasteful number, since it uses less digits than its factorization.

71253252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1346 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 71253252 is about 8441.1641377241. The cubic root of 71253252 is about 414.5735242367.

Adding to 71253252 its reverse (25235217), we get a palindrome (96488469).

The spelling of 71253252 in words is "seventy-one million, two hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1303 1519 1764 1953 2604 2606 3038 3906 3909 4557 5212 6076 7812 7818 9114 9121 11727 13671 15636 18228 18242 23454 27342 27363 36484 40393 46908 54684 54726 63847 80786 82089 109452 121179 127694 161572 164178 191541 242358 255388 282751 328356 363537 383082 484716 565502 574623 727074 766164 848253 1131004 1149246 1454148 1696506 1979257 2298492 2544759 3393012 3958514 5089518 5937771 7917028 10179036 11875542 17813313 23751084 35626626 71253252