Search a number
-
+
51051680 = 255171372
BaseRepresentation
bin1100001010111…
…1110010100000
310120001200201222
43002233302200
5101032123210
65022114212
71156634501
oct302576240
9116050658
1051051680
11268a9979
121511b968
13a765cc4
146accba8
154736655
hex30afca0

51051680 has 72 divisors (see below), whose sum is σ = 128643228. Its totient is φ = 19079168.

The previous prime is 51051677. The next prime is 51051691. The reversal of 51051680 is 8615015.

It can be written as a sum of positive squares in 6 ways, for example, as 33779344 + 17272336 = 5812^2 + 4156^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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, 372572 + ... + 372708.

Almost surely, 251051680 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 51051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64321614).

51051680 is an abundant number, since it is smaller than the sum of its proper divisors (77591548).

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

51051680 is a wasteful number, since it uses less digits than its factorization.

51051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 51051680 is about 7145.0458361021. The cubic root of 51051680 is about 370.9681971562.

Adding to 51051680 its reverse (8615015), we get a palindrome (59666695).

The spelling of 51051680 in words is "fifty-one million, fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 137 160 170 272 274 340 544 548 680 685 1096 1360 1370 2192 2329 2720 2740 4384 4658 5480 9316 10960 11645 18632 18769 21920 23290 37264 37538 46580 74528 75076 93160 93845 150152 186320 187690 300304 319073 372640 375380 600608 638146 750760 1276292 1501520 1595365 2552584 3003040 3190730 5105168 6381460 10210336 12762920 25525840 51051680