[go: up one dir, main page]

Search a number
-
+
51410016 = 2532723643
BaseRepresentation
bin1100010000011…
…1010001100000
310120201220021200
43010013101200
5101130110031
65033521200
71162656300
oct304072140
9116656250
1051410016
1127024119
1215273200
13a860138
146b83600
1547a78e6
hex3107460

51410016 has 108 divisors (see below), whose sum is σ = 170112852. Its totient is φ = 14684544.

The previous prime is 51410003. The next prime is 51410017. The reversal of 51410016 is 61001415.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51410017) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12291 + ... + 15933.

It is an arithmetic number, because the mean of its divisors is an integer number (1575119).

Almost surely, 251410016 is an apocalyptic number.

51410016 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 51410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85056426).

51410016 is an abundant number, since it is smaller than the sum of its proper divisors (118702836).

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

51410016 is a wasteful number, since it uses less digits than its factorization.

51410016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51410016 is about 7170.0778238454. The cubic root of 51410016 is about 371.8341265342.

The spelling of 51410016 in words is "fifty-one million, four hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 3643 4704 7056 7286 10929 14112 14572 21858 25501 29144 32787 43716 51002 58288 65574 76503 87432 102004 116576 131148 153006 174864 178507 204008 229509 262296 306012 349728 357014 408016 459018 524592 535521 612024 714028 816032 918036 1049184 1071042 1224048 1428056 1606563 1836072 2142084 2448096 2856112 3213126 3672144 4284168 5712224 6426252 7344288 8568336 12852504 17136672 25705008 51410016