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51844240 = 2457432153
BaseRepresentation
bin1100010111000…
…1010010010000
310121112221221001
43011301102100
5101233003430
65051111344
71166445250
oct305612220
9117487831
1051844240
11272a0388
1215442554
13a982986
146c57960
1548413ca
hex3171490

51844240 has 80 divisors (see below), whose sum is σ = 141026688. Its totient is φ = 17353728.

The previous prime is 51844223. The next prime is 51844241. The reversal of 51844240 is 4244815.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 51844199 and 51844208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51844241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23004 + ... + 25156.

Almost surely, 251844240 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 51844240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70513344).

51844240 is an abundant number, since it is smaller than the sum of its proper divisors (89182448).

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

51844240 is a wasteful number, since it uses less digits than its factorization.

51844240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 51844240 is about 7200.2944384240. The cubic root of 51844240 is about 372.8780660745.

The spelling of 51844240 in words is "fifty-one million, eight hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2153 2408 3010 3440 4306 4816 6020 8612 10765 12040 15071 17224 21530 24080 30142 34448 43060 60284 75355 86120 92579 120568 150710 172240 185158 241136 301420 370316 462895 602840 648053 740632 925790 1205680 1296106 1481264 1851580 2592212 3240265 3703160 5184424 6480530 7406320 10368848 12961060 25922120 51844240