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57432402 = 2341947397
BaseRepresentation
bin1101101100010…
…1100101010010
311000001212110000
43123011211102
5104200314102
65410550430
71265111256
oct333054522
9130055400
1057432402
112a4678a5
1217298416
13bb8b391
1478b0266
15509701c
hex36c5952

57432402 has 80 divisors (see below), whose sum is σ = 138695040. Its totient is φ = 17705952.

The previous prime is 57432379. The next prime is 57432407. The reversal of 57432402 is 20423475.

57432402 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 (27).

It is not an unprimeable number, because it can be changed into a prime (57432407) 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 39 ways as a sum of consecutive naturals, for example, 144468 + ... + 144864.

It is an arithmetic number, because the mean of its divisors is an integer number (1733688).

Almost surely, 257432402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57432402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69347520).

57432402 is an abundant number, since it is smaller than the sum of its proper divisors (81262638).

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

57432402 is a wasteful number, since it uses less digits than its factorization.

57432402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 57432402 is about 7578.4168531429. The cubic root of 57432402 is about 385.8208203078.

Adding to 57432402 its reverse (20423475), we get a palindrome (77855877).

The spelling of 57432402 in words is "fifty-seven million, four hundred thirty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 47 54 57 81 94 114 141 162 171 282 342 397 423 513 794 846 893 1026 1191 1269 1539 1786 2382 2538 2679 3078 3573 3807 5358 7146 7543 7614 8037 10719 15086 16074 18659 21438 22629 24111 32157 37318 45258 48222 55977 64314 67887 72333 111954 135774 144666 167931 203661 335862 354521 407322 503793 610983 709042 1007586 1063563 1221966 1511379 2127126 3022758 3190689 6381378 9572067 19144134 28716201 57432402