[go: up one dir, main page]

Search a number
-
+
51571296 = 253378527
BaseRepresentation
bin1100010010111…
…0101001100000
310121001002112000
43010232221200
5101200240141
65041204000
71164230430
oct304565140
9117032460
1051571296
1127124307
1215330600
13a8b867a
146bc62c0
1547da5b6
hex312ea60

51571296 has 96 divisors (see below), whose sum is σ = 171924480. Its totient is φ = 14732928.

The previous prime is 51571283. The next prime is 51571391. The reversal of 51571296 is 69217515.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×515712962 = 5319197142239232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51571296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785 + ... + 10311.

It is an arithmetic number, because the mean of its divisors is an integer number (1790880).

Almost surely, 251571296 is an apocalyptic number.

51571296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51571296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85962240).

51571296 is an abundant number, since it is smaller than the sum of its proper divisors (120353184).

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

51571296 is a wasteful number, since it uses less digits than its factorization.

51571296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553 (or 8539 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 51571296 is about 7181.3157568791. The cubic root of 51571296 is about 372.2225515339. Note that the first 3 decimals are identical.

The spelling of 51571296 in words is "fifty-one million, five hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8527 17054 25581 34108 51162 59689 68216 76743 102324 119378 136432 153486 179067 204648 230229 238756 272864 306972 358134 409296 460458 477512 537201 613944 716268 818592 920916 955024 1074402 1227888 1432536 1611603 1841832 1910048 2148804 2455776 2865072 3223206 3683664 4297608 5730144 6446412 7367328 8595216 12892824 17190432 25785648 51571296