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57790404 = 2232721812
BaseRepresentation
bin1101110001110…
…0111111000100
311000202001112100
43130130333010
5104243243104
65422352100
71301132100
oct334347704
9130661470
1057790404
112a691871
121742b630
13bc85309
147964900
155118139
hex371cfc4

57790404 has 81 divisors (see below), whose sum is σ = 170875341. Its totient is φ = 16420320.

The previous prime is 57790393. The next prime is 57790423. The reversal of 57790404 is 40409775.

It is a happy number.

The square root of 57790404 is 7602.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 57153600 = 798^2 + 7560^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 319194 + ... + 319374.

Almost surely, 257790404 is an apocalyptic number.

57790404 is the 7602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57790404

57790404 is an abundant number, since it is smaller than the sum of its proper divisors (113084937).

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

57790404 is a wasteful number, since it uses less digits than its factorization.

57790404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 57790404 is about 386.6208252564.

Multiplying 57790404 by its sum of digits (36), we get a square (2080454544 = 456122).

57790404 divided by its sum of digits (36) gives a square (1605289 = 12672).

The spelling of 57790404 in words is "fifty-seven million, seven hundred ninety thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 181 196 252 294 362 441 543 588 724 882 1086 1267 1629 1764 2172 2534 3258 3801 5068 6516 7602 8869 11403 15204 17738 22806 26607 32761 35476 45612 53214 65522 79821 98283 106428 131044 159642 196566 229327 294849 319284 393132 458654 589698 687981 917308 1179396 1375962 1605289 2063943 2751924 3210578 4127886 4815867 6421156 8255772 9631734 14447601 19263468 28895202 57790404