Search a number
-
+
57996378 = 23311163599
BaseRepresentation
bin1101110100111…
…1010001011010
311001010112002000
43131033101122
5104321341003
65431021430
71302650436
oct335172132
9131115060
1057996378
112a8125a0
121750a876
13c027cab
1479b99c6
1551591a3
hex374f45a

57996378 has 64 divisors (see below), whose sum is σ = 141696000. Its totient is φ = 17437680.

The previous prime is 57996373. The next prime is 57996413. The reversal of 57996378 is 87369975.

57996378 is a `hidden beast` number, since 579 + 9 + 63 + 7 + 8 = 666.

It is a super-2 number, since 2×579963782 = 6727159722237768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2857680) is a multiple of the sum of its prime factors (784).

It is not an unprimeable number, because it can be changed into a prime (57996373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96523 + ... + 97121.

It is an arithmetic number, because the mean of its divisors is an integer number (2214000).

Almost surely, 257996378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57996378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70848000).

57996378 is an abundant number, since it is smaller than the sum of its proper divisors (83699622).

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

57996378 is a wasteful number, since it uses less digits than its factorization.

57996378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 57996378 is about 7615.5353062014. The cubic root of 57996378 is about 387.0796062426.

The spelling of 57996378 in words is "fifty-seven million, nine hundred ninety-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 163 198 297 326 489 594 599 978 1198 1467 1793 1797 2934 3586 3594 4401 5379 5391 6589 8802 10758 10782 13178 16137 16173 19767 32274 32346 39534 48411 59301 96822 97637 118602 177903 195274 292911 355806 585822 878733 1074007 1757466 2148014 2636199 3222021 5272398 6444042 9666063 19332126 28998189 57996378