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57431940 = 22351277537
BaseRepresentation
bin1101101100010…
…1011110000100
311000001211210220
43123011132010
5104200310230
65410544340
71265110026
oct333053604
9130054726
1057431940
112a467515
12172980b0
13bb8b0c7
1478b0016
155096d10
hex36c5784

57431940 has 48 divisors (see below), whose sum is σ = 162097152. Its totient is φ = 15192576.

The previous prime is 57431923. The next prime is 57431953. The reversal of 57431940 is 4913475.

57431940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3852 + ... + 11388.

It is an arithmetic number, because the mean of its divisors is an integer number (3377024).

Almost surely, 257431940 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 57431940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81048576).

57431940 is an abundant number, since it is smaller than the sum of its proper divisors (104665212).

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

57431940 is a wasteful number, since it uses less digits than its factorization.

57431940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 57431940 is about 7578.3863717813. The cubic root of 57431940 is about 385.8197857600.

The spelling of 57431940 in words is "fifty-seven million, four hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7537 7620 15074 22611 30148 37685 45222 75370 90444 113055 150740 226110 452220 957199 1914398 2871597 3828796 4785995 5743194 9571990 11486388 14357985 19143980 28715970 57431940