Search a number
-
+
57432438 = 23271014513
BaseRepresentation
bin1101101100010…
…1100101110110
311000001212111100
43123011211312
5104200314223
65410550530
71265111340
oct333054566
9130055440
1057432438
112a467928
1217298446
13bb8b3bb
1478b0290
155097043
hex36c5976

57432438 has 48 divisors (see below), whose sum is σ = 143653536. Its totient is φ = 16243200.

The previous prime is 57432433. The next prime is 57432451. The reversal of 57432438 is 83423475.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57432433) 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, 10470 + ... + 14982.

It is an arithmetic number, because the mean of its divisors is an integer number (2992782).

Almost surely, 257432438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57432438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71826768).

57432438 is an abundant number, since it is smaller than the sum of its proper divisors (86221098).

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

57432438 is a wasteful number, since it uses less digits than its factorization.

57432438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4626 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 57432438 is about 7578.4192283088. The cubic root of 57432438 is about 385.8209009217.

The spelling of 57432438 in words is "fifty-seven million, four hundred thirty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 4513 6363 9026 12726 13539 27078 31591 40617 63182 81234 94773 189546 284319 455813 568638 911626 1367439 2734878 3190691 4102317 6381382 8204634 9572073 19144146 28716219 57432438