Search a number
-
+
57046302 = 2332321997
BaseRepresentation
bin1101100110011…
…1010100011110
310222100020211000
43121213110132
5104100440202
65354411130
71261612515
oct331472436
9128306730
1057046302
112a223805
1217130aa6
13ba84711
14780d67c
15501c91c
hex366751e

57046302 has 48 divisors (see below), whose sum is σ = 132587280. Its totient is φ = 18179568.

The previous prime is 57046273. The next prime is 57046309. The reversal of 57046302 is 20364075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57046309) 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, 27568 + ... + 29564.

It is an arithmetic number, because the mean of its divisors is an integer number (2762235).

Almost surely, 257046302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57046302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66293640).

57046302 is an abundant number, since it is smaller than the sum of its proper divisors (75540978).

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

57046302 is a wasteful number, since it uses less digits than its factorization.

57046302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57046302 is about 7552.9002376571. The cubic root of 57046302 is about 384.9542915320.

The spelling of 57046302 in words is "fifty-seven million, forty-six thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1587 1997 3174 3994 4761 5991 9522 11982 14283 17973 28566 35946 45931 53919 91862 107838 137793 275586 413379 826758 1056413 1240137 2112826 2480274 3169239 6338478 9507717 19015434 28523151 57046302