Search a number
-
+
57482244 = 22332373317
BaseRepresentation
bin1101101101000…
…1110000000100
311000011101211000
43123101300010
5104203412434
65412013300
71265406501
oct333216004
9130141730
1057482244
112a4a1296
1217301230
13bba7c81
1478c44a8
1550a6b99
hex36d1c04

57482244 has 96 divisors (see below), whose sum is σ = 158135040. Its totient is φ = 18019584.

The previous prime is 57482237. The next prime is 57482251. The reversal of 57482244 is 44228475.

57482244 is a `hidden beast` number, since 574 + 82 + 2 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57482237) and next prime (57482251).

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

It is a junction number, because it is equal to n+sod(n) for n = 57482199 and 57482208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181174 + ... + 181490.

It is an arithmetic number, because the mean of its divisors is an integer number (1647240).

Almost surely, 257482244 is an apocalyptic number.

57482244 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 57482244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79067520).

57482244 is an abundant number, since it is smaller than the sum of its proper divisors (100652796).

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

57482244 is a wasteful number, since it uses less digits than its factorization.

57482244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 57482244 is about 7581.7045576836. The cubic root of 57482244 is about 385.9323979798.

The spelling of 57482244 in words is "fifty-seven million, four hundred eighty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 73 92 108 138 146 207 219 276 292 317 414 438 621 634 657 828 876 951 1242 1268 1314 1679 1902 1971 2484 2628 2853 3358 3804 3942 5037 5706 6716 7291 7884 8559 10074 11412 14582 15111 17118 20148 21873 23141 29164 30222 34236 43746 45333 46282 60444 65619 69423 87492 90666 92564 131238 138846 181332 196857 208269 262476 277692 393714 416538 532243 624807 787428 833076 1064486 1249614 1596729 2128972 2499228 3193458 4790187 6386916 9580374 14370561 19160748 28741122 57482244