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51000144 = 2431326287
BaseRepresentation
bin1100001010001…
…1001101010000
310112222002001020
43002203031100
5101024001034
65021035440
71156331316
oct302431520
9115862036
1051000144
1126874188
12150b5b80
13a748700
146ab80b6
154726249
hex30a3350

51000144 has 60 divisors (see below), whose sum is σ = 142687296. Its totient is φ = 15689856.

The previous prime is 51000139. The next prime is 51000163. The reversal of 51000144 is 44100015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4969 + ... + 11255.

Almost surely, 251000144 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 51000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71343648).

51000144 is an abundant number, since it is smaller than the sum of its proper divisors (91687152).

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

51000144 is a wasteful number, since it uses less digits than its factorization.

51000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 51000144 is about 7141.4385105523. The cubic root of 51000144 is about 370.8433259550.

Adding to 51000144 its reverse (44100015), we get a palindrome (95100159).

The spelling of 51000144 in words is "fifty-one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 6287 8112 12574 18861 25148 37722 50296 75444 81731 100592 150888 163462 245193 301776 326924 490386 653848 980772 1062503 1307696 1961544 2125006 3187509 3923088 4250012 6375018 8500024 12750036 17000048 25500072 51000144