Search a number
-
+
57401280 = 26325191049
BaseRepresentation
bin1101101011110…
…1111111000000
311000000021202100
43122331333000
5104143320110
65410150400
71264621446
oct332757700
9130007670
1057401280
112a446482
1217282400
13bb7a171
1478a2b96
15508cbc0
hex36bdfc0

57401280 has 168 divisors, whose sum is σ = 208026000. Its totient is φ = 14487552.

The previous prime is 57401257. The next prime is 57401297. The reversal of 57401280 is 8210475.

57401280 is a `hidden beast` number, since 574 + 0 + 12 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54196 + ... + 55244.

It is an arithmetic number, because the mean of its divisors is an integer number (1238250).

Almost surely, 257401280 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 57401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104013000).

57401280 is an abundant number, since it is smaller than the sum of its proper divisors (150624720).

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

57401280 is a wasteful number, since it uses less digits than its factorization.

57401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 57401280 is about 7576.3632436678. The cubic root of 57401280 is about 385.7511170003.

The spelling of 57401280 in words is "fifty-seven million, four hundred one thousand, two hundred eighty".