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51980288 = 211171493
BaseRepresentation
bin1100011001001…
…0100000000000
310121210212112212
43012102200000
5101301332123
65054041252
71200553013
oct306224000
9117725485
1051980288
1127383618
12154a9228
13a9cc889
146c9137a
15486b878
hex3192800

51980288 has 48 divisors (see below), whose sum is σ = 110122740. Its totient is φ = 24444928.

The previous prime is 51980287. The next prime is 51980293. The reversal of 51980288 is 88208915.

It can be written as a sum of positive squares in 2 ways, for example, as 45589504 + 6390784 = 6752^2 + 2528^2 .

It is not an unprimeable number, because it can be changed into a prime (51980287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34070 + ... + 35562.

Almost surely, 251980288 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 51980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55061370).

51980288 is an abundant number, since it is smaller than the sum of its proper divisors (58142452).

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

51980288 is a wasteful number, since it uses less digits than its factorization.

51980288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 41.

The square root of 51980288 is about 7209.7356400911. The cubic root of 51980288 is about 373.2039460928.

The spelling of 51980288 in words is "fifty-one million, nine hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1493 2048 2176 2986 4352 5972 8704 11944 17408 23888 25381 34816 47776 50762 95552 101524 191104 203048 382208 406096 764416 812192 1528832 1624384 3057664 3248768 6497536 12995072 25990144 51980288