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57920382 = 232131271949
BaseRepresentation
bin1101110011110…
…0101101111110
311000222122211100
43130330231332
5104311423012
65425233530
71302213042
oct334745576
9130878740
1057920382
112a770493
12174928a6
13bccc520
14799a022
1551418dc
hex373cb7e

57920382 has 48 divisors (see below), whose sum is σ = 136281600. Its totient is φ = 17672256.

The previous prime is 57920353. The next prime is 57920383. The reversal of 57920382 is 28302975.

It is a happy number.

57920382 is a `hidden beast` number, since 579 + 2 + 0 + 3 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57920383) 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, 28744 + ... + 30692.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 257920382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57920382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

57920382 is an abundant number, since it is smaller than the sum of its proper divisors (78361218).

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

57920382 is a wasteful number, since it uses less digits than its factorization.

57920382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57920382 is about 7610.5441329776. The cubic root of 57920382 is about 386.9104614279.

The spelling of 57920382 in words is "fifty-seven million, nine hundred twenty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1651 1949 2286 3302 3898 4953 5847 9906 11694 14859 17541 25337 29718 35082 50674 76011 152022 228033 247523 456066 495046 742569 1485138 2227707 3217799 4455414 6435598 9653397 19306794 28960191 57920382