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57707244 = 22327318389
BaseRepresentation
bin1101110000100…
…0101011101100
311000120211110100
43130020223230
5104233112434
65420511100
71300334460
oct334105354
9130524410
1057707244
112a635341
12173ab490
13bc564ca
1479424a0
1550ed699
hex3708aec

57707244 has 144 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 15586560.

The previous prime is 57707239. The next prime is 57707261. The reversal of 57707244 is 44270775.

It is a happy number.

57707244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 57707199 and 57707208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648352 + ... + 648440.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 257707244 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 57707244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

57707244 is an abundant number, since it is smaller than the sum of its proper divisors (118410516).

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

57707244 is a wasteful number, since it uses less digits than its factorization.

57707244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 57707244 is about 7596.5284176392. The cubic root of 57707244 is about 386.4352879826.

The spelling of 57707244 in words is "fifty-seven million, seven hundred seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 83 84 89 93 124 126 166 178 186 217 249 252 267 279 332 356 372 434 498 534 558 581 623 651 747 801 868 996 1068 1116 1162 1246 1302 1494 1602 1743 1869 1953 2324 2492 2573 2604 2759 2988 3204 3486 3738 3906 5146 5229 5518 5607 6972 7387 7476 7719 7812 8277 10292 10458 11036 11214 14774 15438 16554 18011 19313 20916 22161 22428 23157 24831 29548 30876 33108 36022 38626 44322 46314 49662 51709 54033 57939 66483 72044 77252 88644 92628 99324 103418 108066 115878 132966 155127 162099 173817 206836 216132 228997 231756 265932 310254 324198 347634 457994 465381 620508 648396 686991 695268 915988 930762 1373982 1602979 1861524 2060973 2747964 3205958 4121946 4808937 6411916 8243892 9617874 14426811 19235748 28853622 57707244