Search a number
-
+
51790880 = 255893637
BaseRepresentation
bin1100010110010…
…0010000100000
310121110020201202
43011210100200
5101224302010
65050020332
71166133551
oct305442040
9117406652
1051790880
1127264289
12154176a8
13a9645bb
146c42328
1548306a5
hex3164420

51790880 has 48 divisors (see below), whose sum is σ = 123764760. Its totient is φ = 20477952.

The previous prime is 51790873. The next prime is 51790883. The reversal of 51790880 is 8809715.

It can be written as a sum of positive squares in 4 ways, for example, as 18011536 + 33779344 = 4244^2 + 5812^2 .

It is not an unprimeable number, because it can be changed into a prime (51790883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12422 + ... + 16058.

Almost surely, 251790880 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 51790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61882380).

51790880 is an abundant number, since it is smaller than the sum of its proper divisors (71973880).

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

51790880 is a wasteful number, since it uses less digits than its factorization.

51790880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 38.

The square root of 51790880 is about 7196.5880804726. The cubic root of 51790880 is about 372.7500955505.

The spelling of 51790880 in words is "fifty-one million, seven hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 3637 7120 7274 14240 14548 18185 29096 36370 58192 72740 116384 145480 290960 323693 581920 647386 1294772 1618465 2589544 3236930 5179088 6473860 10358176 12947720 25895440 51790880