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51589872 = 24364423
BaseRepresentation
bin1100010011001…
…1001011110000
310121002001000000
43010303023300
5101201333442
65041430000
71164335535
oct304631360
9117061000
1051589872
1127137264
121533b300
13a8c3c69
146bccd8c
1547e0d4c
hex31332f0

51589872 has 70 divisors (see below), whose sum is σ = 149898392. Its totient is φ = 17192736.

The previous prime is 51589871. The next prime is 51589873. The reversal of 51589872 is 27898515.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51589871) and next prime (51589873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51589871) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9453 + ... + 13875.

Almost surely, 251589872 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 51589872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74949196).

51589872 is an abundant number, since it is smaller than the sum of its proper divisors (98308520).

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

51589872 is an equidigital number, since it uses as much as digits as its factorization.

51589872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4428 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 51589872 is about 7182.6089967365. The cubic root of 51589872 is about 372.2672377362.

The spelling of 51589872 in words is "fifty-one million, five hundred eighty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 4423 5832 8846 11664 13269 17692 26538 35384 39807 53076 70768 79614 106152 119421 159228 212304 238842 318456 358263 477684 636912 716526 955368 1074789 1433052 1910736 2149578 2866104 3224367 4299156 5732208 6448734 8598312 12897468 17196624 25794936 51589872