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57425984 = 2671143271
BaseRepresentation
bin1101101100010…
…0000001000000
311000001112122022
43123010001000
5104200112414
65410501012
71265053460
oct333040100
9130045568
1057425984
112a462aa0
1217294768
13bb88495
1478abba0
15509518e
hex36c4040

57425984 has 112 divisors (see below), whose sum is σ = 145913856. Its totient is φ = 21772800.

The previous prime is 57425959. The next prime is 57425987. The reversal of 57425984 is 48952475.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (57425987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211769 + ... + 212039.

Almost surely, 257425984 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 57425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72956928).

57425984 is an abundant number, since it is smaller than the sum of its proper divisors (88487872).

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

57425984 is a wasteful number, since it uses less digits than its factorization.

57425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 57425984 is about 7577.9934019501. The cubic root of 57425984 is about 385.8064481057.

The spelling of 57425984 in words is "fifty-seven million, four hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 64 77 86 88 112 154 172 176 224 271 301 308 344 352 448 473 542 602 616 688 704 946 1084 1204 1232 1376 1892 1897 2168 2408 2464 2752 2981 3311 3784 3794 4336 4816 4928 5962 6622 7568 7588 8672 9632 11653 11924 13244 15136 15176 17344 19264 20867 23306 23848 26488 30272 30352 41734 46612 47696 52976 60704 81571 83468 93224 95392 105952 121408 128183 163142 166936 186448 190784 211904 256366 326284 333872 372896 512732 652568 667744 745792 897281 1025464 1305136 1335488 1794562 2050928 2610272 3589124 4101856 5220544 7178248 8203712 14356496 28712992 57425984