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57828225 = 35271337229
BaseRepresentation
bin1101110010011…
…0001110000001
311000210222102010
43130212032001
5104301000400
65423243133
71301350260
oct334461601
9130728363
1057828225
112a708224
12174494a9
13bc995b0
1479745d7
155124450
hex3726381

57828225 has 96 divisors (see below), whose sum is σ = 121381120. Its totient is φ = 23639040.

The previous prime is 57828209. The next prime is 57828227. The reversal of 57828225 is 52282875.

It is a happy number.

It is not a de Polignac number, because 57828225 - 24 = 57828209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (57828227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252411 + ... + 252639.

Almost surely, 257828225 is an apocalyptic number.

It is an amenable number.

57828225 is an abundant number, since it is smaller than the sum of its proper divisors (63552895).

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

57828225 is a wasteful number, since it uses less digits than its factorization.

57828225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 294 counting only the distinct ones).

The product of its digits is 89600, while the sum is 39.

The square root of 57828225 is about 7604.4871621958. The cubic root of 57828225 is about 386.7051483534.

The spelling of 57828225 in words is "fifty-seven million, eight hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 37 39 65 75 91 105 111 175 185 195 229 259 273 325 455 481 525 555 687 777 925 975 1145 1295 1365 1443 1603 2275 2405 2775 2977 3367 3435 3885 4809 5725 6475 6825 7215 8015 8473 8931 10101 12025 14885 16835 17175 19425 20839 24045 25419 36075 40075 42365 44655 50505 59311 62517 74425 84175 104195 110149 120225 127095 177933 211825 223275 252525 296555 312585 330447 520975 550745 635475 771043 889665 1482775 1562925 1652235 2313129 2753725 3855215 4448325 8261175 11565645 19276075 57828225