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51878304 = 2532612953
BaseRepresentation
bin1100010111100…
…1100110100000
310121121200122200
43011321212200
5101240101204
65051533200
71166646462
oct305714640
9117550580
1051878304
1127313a35
121545a200
13a99532a
146c66132
15484b539
hex31799a0

51878304 has 72 divisors (see below), whose sum is σ = 149998212. Its totient is φ = 17003520.

The previous prime is 51878297. The next prime is 51878369. The reversal of 51878304 is 40387815.

It can be written as a sum of positive squares in 2 ways, for example, as 50979600 + 898704 = 7140^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16092 + ... + 19044.

Almost surely, 251878304 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 51878304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74999106).

51878304 is an abundant number, since it is smaller than the sum of its proper divisors (98119908).

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

51878304 is a wasteful number, since it uses less digits than its factorization.

51878304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 51878304 is about 7202.6595088203. The cubic root of 51878304 is about 372.9597140878.

The spelling of 51878304 in words is "fifty-one million, eight hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 2953 4392 5856 5906 8784 8859 11812 17568 17718 23624 26577 35436 47248 53154 70872 94496 106308 141744 180133 212616 283488 360266 425232 540399 720532 850464 1080798 1441064 1621197 2161596 2882128 3242394 4323192 5764256 6484788 8646384 12969576 17292768 25939152 51878304