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71425152 = 2734832
BaseRepresentation
bin1000100000111…
…01110010000000
311222101202220000
410100131302000
5121241101102
611030520000
71525050411
oct420356200
9158352800
1071425152
1137354857
121bb06000
1311a4a406
1496b3808
15640d01c
hex441dc80

71425152 has 120 divisors (see below), whose sum is σ = 215151915. Its totient is φ = 23521536.

The previous prime is 71425103. The next prime is 71425163. The reversal of 71425152 is 25152417.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

71425152 is a `hidden beast` number, since 7 + 142 + 515 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35712576 + 35712576 = 5976^2 + 5976^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5976.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 860503 + ... + 860585.

Almost surely, 271425152 is an apocalyptic number.

71425152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71425152

71425152 is an abundant number, since it is smaller than the sum of its proper divisors (143726763).

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

71425152 is an frugal number, since it uses more digits than its factorization.

71425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 88 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 71425152 is about 8451.3402487416. The cubic root of 71425152 is about 414.9066456682.

Adding to 71425152 its reverse (25152417), we get a palindrome (96577569).

The spelling of 71425152 in words is "seventy-one million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 83 96 108 128 144 162 166 192 216 249 288 324 332 384 432 498 576 648 664 747 864 996 1152 1296 1328 1494 1728 1992 2241 2592 2656 2988 3456 3984 4482 5184 5312 5976 6723 6889 7968 8964 10368 10624 11952 13446 13778 15936 17928 20667 23904 26892 27556 31872 35856 41334 47808 53784 55112 62001 71712 82668 95616 107568 110224 124002 143424 165336 186003 215136 220448 248004 286848 330672 372006 430272 440896 496008 558009 661344 744012 860544 881792 992016 1116018 1322688 1488024 1984032 2232036 2645376 2976048 3968064 4464072 5952096 7936128 8928144 11904192 17856288 23808384 35712576 71425152