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57488376 = 233111973157
BaseRepresentation
bin1101101101001…
…1001111111000
311000011201020010
43123103033320
5104204112001
65412101520
71265433411
oct333231770
9130151203
1057488376
112a4a5960
12173048a0
13bbaa9ba
1478c6808
1550a88d6
hex36d33f8

57488376 has 128 divisors (see below), whose sum is σ = 168364800. Its totient is φ = 16174080.

The previous prime is 57488371. The next prime is 57488383. The reversal of 57488376 is 67388475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57488371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366090 + ... + 366246.

It is an arithmetic number, because the mean of its divisors is an integer number (1315350).

Almost surely, 257488376 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 57488376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84182400).

57488376 is an abundant number, since it is smaller than the sum of its proper divisors (110876424).

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

57488376 is a wasteful number, since it uses less digits than its factorization.

57488376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 57488376 is about 7582.1089414489. The cubic root of 57488376 is about 385.9461207874.

Subtracting 57488376 from its reverse (67388475), we obtain a palindrome (9900099).

The spelling of 57488376 in words is "fifty-seven million, four hundred eighty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 73 76 88 114 132 146 152 157 209 219 228 264 292 314 418 438 456 471 584 627 628 803 836 876 942 1254 1256 1387 1606 1672 1727 1752 1884 2409 2508 2774 2983 3212 3454 3768 4161 4818 5016 5181 5548 5966 6424 6908 8322 8949 9636 10362 11096 11461 11932 13816 15257 16644 17898 19272 20724 22922 23864 30514 32813 33288 34383 35796 41448 45771 45844 61028 65626 68766 71592 91542 91688 98439 122056 126071 131252 137532 183084 196878 217759 252142 262504 275064 366168 378213 393756 435518 504284 653277 756426 787512 871036 1008568 1306554 1512852 1742072 2395349 2613108 3025704 4790698 5226216 7186047 9581396 14372094 19162792 28744188 57488376