Search a number
-
+
51774144 = 263416577
BaseRepresentation
bin1100010110000…
…0001011000000
310121102101202220
43011200023000
5101223233034
65045411040
71166034012
oct305401300
9117371686
1051774144
1127252754
1215409a80
13a959ab6
146c3a1b2
15482a749
hex31602c0

51774144 has 56 divisors (see below), whose sum is σ = 140348208. Its totient is φ = 16834560.

The previous prime is 51774143. The next prime is 51774169. The reversal of 51774144 is 44147715.

It is not an unprimeable number, because it can be changed into a prime (51774143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4584 + ... + 11160.

It is an arithmetic number, because the mean of its divisors is an integer number (2506218).

Almost surely, 251774144 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 51774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70174104).

51774144 is an abundant number, since it is smaller than the sum of its proper divisors (88574064).

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

51774144 is a wasteful number, since it uses less digits than its factorization.

51774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6633 (or 6623 counting only the distinct ones).

The product of its digits is 15680, while the sum is 33.

The square root of 51774144 is about 7195.4252132866. The cubic root of 51774144 is about 372.7099403618.

The spelling of 51774144 in words is "fifty-one million, seven hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 6577 7872 13154 19731 26308 39462 52616 78924 105232 157848 210464 269657 315696 420928 539314 631392 808971 1078628 1262784 1617942 2157256 3235884 4314512 6471768 8629024 12943536 17258048 25887072 51774144