Search a number
-
+
57484032 = 28329289
BaseRepresentation
bin1101101101001…
…0001100000000
311000011111021020
43123102030000
5104203442112
65412025440
71265414634
oct333221400
9130144236
1057484032
112a4a2671
1217302280
13bba8a28
1478c4dc4
1550a748c
hex36d2300

57484032 has 108 divisors (see below), whose sum is σ = 160229160. Its totient is φ = 18292736.

The previous prime is 57484027. The next prime is 57484033. The reversal of 57484032 is 23048475.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57483984 and 57484002.

It is not an unprimeable number, because it can be changed into a prime (57484033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645844 + ... + 645932.

Almost surely, 257484032 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 57484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80114580).

57484032 is an abundant number, since it is smaller than the sum of its proper divisors (102745128).

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

57484032 is an equidigital number, since it uses as much as digits as its factorization.

57484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 57484032 is about 7581.8224722028. The cubic root of 57484032 is about 385.9363994472.

The spelling of 57484032 in words is "fifty-seven million, four hundred eighty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 89 96 116 128 174 178 192 232 256 267 348 356 384 464 534 696 712 768 841 928 1068 1392 1424 1682 1856 2136 2523 2581 2784 2848 3364 3712 4272 5046 5162 5568 5696 6728 7424 7743 8544 10092 10324 11136 11392 13456 15486 17088 20184 20648 22272 22784 26912 30972 34176 40368 41296 53824 61944 68352 74849 80736 82592 107648 123888 149698 161472 165184 215296 224547 247776 299396 322944 330368 449094 495552 598792 645888 660736 898188 991104 1197584 1796376 1982208 2395168 3592752 4790336 7185504 9580672 14371008 19161344 28742016 57484032