Search a number
-
+
51658380 = 223251931487
BaseRepresentation
bin1100010100001…
…1111010001100
310121012111222100
43011003322030
5101211032010
65043115100
71165042344
oct305037214
9117174870
1051658380
1127183784
1215372a90
13a9191b7
146c09d24
1548062c0
hex3143e8c

51658380 has 72 divisors (see below), whose sum is σ = 157614912. Its totient is φ = 13694976.

The previous prime is 51658363. The next prime is 51658381. The reversal of 51658380 is 8385615.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51658381) 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, 33997 + ... + 35483.

It is an arithmetic number, because the mean of its divisors is an integer number (2189096).

Almost surely, 251658380 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 51658380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78807456).

51658380 is an abundant number, since it is smaller than the sum of its proper divisors (105956532).

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

51658380 is a wasteful number, since it uses less digits than its factorization.

51658380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51658380 is about 7187.3764337204. The cubic root of 51658380 is about 372.4319470894.

The spelling of 51658380 in words is "fifty-one million, six hundred fifty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1487 1737 1930 2316 2895 2974 3474 3860 4461 5790 5948 6948 7435 8685 8922 11580 13383 14870 17370 17844 22305 26766 29740 34740 44610 53532 66915 89220 133830 267660 286991 573982 860973 1147964 1434955 1721946 2582919 2869910 3443892 4304865 5165838 5739820 8609730 10331676 12914595 17219460 25829190 51658380