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51374592 = 293211149
BaseRepresentation
bin1100001111111…
…0101000000000
310120200002200200
43003332220000
5101122441332
65033045200
71162451103
oct303765000
9116602620
1051374592
1126aaa545
1215256800
13a849c89
146b7473a
15479c17c
hex30fea00

51374592 has 60 divisors (see below), whose sum is σ = 148283850. Its totient is φ = 17123328.

The previous prime is 51374591. The next prime is 51374597. The reversal of 51374592 is 29547315.

It can be written as a sum of positive squares in only one way, i.e., 47114496 + 4260096 = 6864^2 + 2064^2 .

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 (51374591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 967 + ... + 10182.

Almost surely, 251374592 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 51374592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74141925).

51374592 is an abundant number, since it is smaller than the sum of its proper divisors (96909258).

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

51374592 is a wasteful number, since it uses less digits than its factorization.

51374592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173 (or 11154 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 51374592 is about 7167.6071320909. The cubic root of 51374592 is about 371.7487029817.

The spelling of 51374592 in words is "fifty-one million, three hundred seventy-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 11149 22298 33447 44596 66894 89192 100341 133788 178384 200682 267576 356768 401364 535152 713536 802728 1070304 1427072 1605456 2140608 2854144 3210912 4281216 5708288 6421824 8562432 12843648 17124864 25687296 51374592