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57532152 = 23319711777
BaseRepresentation
bin1101101101110…
…1111011111000
311000020221021110
43123131323320
5104212012102
65413040320
71266005136
oct333357370
9130227243
1057532152
112a525837
12173260a0
13bbc48c2
1478d8756
1550b686c
hex36ddef8

57532152 has 64 divisors (see below), whose sum is σ = 153619200. Its totient is φ = 17902080.

The previous prime is 57532147. The next prime is 57532193. The reversal of 57532152 is 25123575.

It is a super-2 number, since 2×575321522 = 6619897027502208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31488 + ... + 33264.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 257532152 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 57532152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

57532152 is an abundant number, since it is smaller than the sum of its proper divisors (96087048).

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

57532152 is a wasteful number, since it uses less digits than its factorization.

57532152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1872 counting only the distinct ones).

The product of its digits is 10500, while the sum is 30.

The square root of 57532152 is about 7584.9951878693. The cubic root of 57532152 is about 386.0440587936.

The spelling of 57532152 in words is "fifty-seven million, five hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 114 142 152 213 228 284 426 456 568 852 1349 1704 1777 2698 3554 4047 5331 5396 7108 8094 10662 10792 14216 16188 21324 32376 33763 42648 67526 101289 126167 135052 202578 252334 270104 378501 405156 504668 757002 810312 1009336 1514004 2397173 3028008 4794346 7191519 9588692 14383038 19177384 28766076 57532152