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57780828 = 22327376197
BaseRepresentation
bin1101110001101…
…0101001011100
311000201120101200
43130122221130
5104242441303
65422235500
71301062140
oct334325134
9130646350
1057780828
112a685656
1217425b90
13bc80b51
147961220
1551153a3
hex371aa5c

57780828 has 72 divisors (see below), whose sum is σ = 171461472. Its totient is φ = 16060032.

The previous prime is 57780817. The next prime is 57780829. The reversal of 57780828 is 82808775.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57780829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6226 + ... + 12422.

Almost surely, 257780828 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 57780828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85730736).

57780828 is an abundant number, since it is smaller than the sum of its proper divisors (113680644).

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

57780828 is a wasteful number, since it uses less digits than its factorization.

57780828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 57780828 is about 7601.3701396525. The cubic root of 57780828 is about 386.5994694299.

The spelling of 57780828 in words is "fifty-seven million, seven hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 6197 9324 12394 18591 24788 37182 43379 55773 74364 86758 111546 130137 173516 223092 229289 260274 390411 458578 520548 687867 780822 917156 1375734 1561644 1605023 2063601 2751468 3210046 4127202 4815069 6420092 8254404 9630138 14445207 19260276 28890414 57780828