Search a number
-
+
51813312 = 263421641
BaseRepresentation
bin1100010110100…
…1101111000000
310121111101111120
43011221233000
5101231011222
65050312240
71166256135
oct305515700
9117441446
1051813312
112727a121
1215428680
13a971885
146c4a58c
15483715c
hex3169bc0

51813312 has 56 divisors (see below), whose sum is σ = 137629392. Its totient is φ = 17203200.

The previous prime is 51813301. The next prime is 51813337. The reversal of 51813312 is 21331815.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80512 + ... + 81152.

Almost surely, 251813312 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 51813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68814696).

51813312 is an abundant number, since it is smaller than the sum of its proper divisors (85816080).

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

51813312 is a wasteful number, since it uses less digits than its factorization.

51813312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 51813312 is about 7198.1464280744. The cubic root of 51813312 is about 372.8039037579.

It can be divided in two parts, 51813 and 312, that added together give a palindrome (52125).

The spelling of 51813312 in words is "fifty-one million, eight hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 421 641 842 1263 1282 1684 1923 2526 2564 3368 3846 5052 5128 6736 7692 10104 10256 13472 15384 20208 20512 26944 30768 40416 41024 61536 80832 123072 269861 539722 809583 1079444 1619166 2158888 3238332 4317776 6476664 8635552 12953328 17271104 25906656 51813312