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57816396 = 223311411187
BaseRepresentation
bin1101110010001…
…1010101001100
311000210101012000
43130203111030
5104300111041
65423112300
71301300631
oct334432514
9130711160
1057816396
112a6aa350
1217442690
13bc940b1
147970188
155120bb6
hex372354c

57816396 has 96 divisors (see below), whose sum is σ = 167650560. Its totient is φ = 17078400.

The previous prime is 57816391. The next prime is 57816403. The reversal of 57816396 is 69361875.

It is a happy number.

57816396 is a `hidden beast` number, since 5 + 7 + 8 + 1 + 639 + 6 = 666.

57816396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57816391) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48115 + ... + 49301.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 257816396 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 57816396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83825280).

57816396 is an abundant number, since it is smaller than the sum of its proper divisors (109834164).

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

57816396 is a wasteful number, since it uses less digits than its factorization.

57816396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 57816396 is about 7603.7093579384. The cubic root of 57816396 is about 386.6787791819.

The spelling of 57816396 in words is "fifty-seven million, eight hundred sixteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1187 1188 1353 1476 1804 2214 2374 2706 3561 4059 4428 4748 5412 7122 8118 10683 12177 13057 14244 16236 21366 24354 26114 32049 39171 42732 48667 48708 52228 64098 78342 97334 117513 128196 146001 156684 194668 235026 292002 352539 438003 470052 535337 584004 705078 876006 1070674 1314009 1410156 1606011 1752012 2141348 2628018 3212022 4818033 5256036 6424044 9636066 14454099 19272132 28908198 57816396