Search a number
-
+
57216124 = 2272674357
BaseRepresentation
bin1101101001000…
…0110001111100
310222122212202201
43122100301330
5104121403444
65402201244
71263220600
oct332206174
9128585681
1057216124
112a32a359
12171b3224
13bb13ac4
147855500
155052dd4
hex3690c7c

57216124 has 36 divisors (see below), whose sum is σ = 118241256. Its totient is φ = 24149664.

The previous prime is 57216121. The next prime is 57216139. The reversal of 57216124 is 42161275.

57216124 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 57216092 and 57216101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57216121) 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 11 ways as a sum of consecutive naturals, for example, 10954 + ... + 15310.

Almost surely, 257216124 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 57216124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59120628).

57216124 is an abundant number, since it is smaller than the sum of its proper divisors (61025132).

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

57216124 is a wasteful number, since it uses less digits than its factorization.

57216124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4433 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 57216124 is about 7564.1340548671. The cubic root of 57216124 is about 385.3359051910.

Adding to 57216124 its reverse (42161275), we get a palindrome (99377399).

The spelling of 57216124 in words is "fifty-seven million, two hundred sixteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 469 938 1876 3283 4357 6566 8714 13132 17428 30499 60998 121996 213493 291919 426986 583838 853972 1167676 2043433 4086866 8173732 14304031 28608062 57216124