Search a number
-
+
57275424 = 2534191163
BaseRepresentation
bin1101101001111…
…1010000100000
310222202220010000
43122133100200
5104130303144
65403340000
71263555513
oct332372040
9128686100
1057275424
112a36a968
1217221600
13bb34aab
14786cd7a
155065769
hex369f420

57275424 has 120 divisors (see below), whose sum is σ = 177463440. Its totient is φ = 18071424.

The previous prime is 57275411. The next prime is 57275501. The reversal of 57275424 is 42457275.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48667 + ... + 49829.

It is an arithmetic number, because the mean of its divisors is an integer number (1478862).

Almost surely, 257275424 is an apocalyptic number.

57275424 is a gapful number since it is divisible by the number (54) 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 57275424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88731720).

57275424 is an abundant number, since it is smaller than the sum of its proper divisors (120188016).

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

57275424 is a wasteful number, since it uses less digits than its factorization.

57275424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1187 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 57275424 is about 7568.0528539381. The cubic root of 57275424 is about 385.4689826518.

The spelling of 57275424 in words is "fifty-seven million, two hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1163 1296 1368 1539 1824 2052 2326 2592 2736 3078 3489 4104 4652 5472 6156 6978 8208 9304 10467 12312 13956 16416 18608 20934 22097 24624 27912 31401 37216 41868 44194 49248 55824 62802 66291 83736 88388 94203 111648 125604 132582 167472 176776 188406 198873 251208 265164 334944 353552 376812 397746 502416 530328 596619 707104 753624 795492 1004832 1060656 1193238 1507248 1590984 1789857 2121312 2386476 3014496 3181968 3579714 4772952 6363936 7159428 9545904 14318856 19091808 28637712 57275424