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51845144 = 23132311237
BaseRepresentation
bin1100010111000…
…1100000011000
310121120000011112
43011301200120
5101233021034
65051115452
71166451011
oct305614030
9117500145
1051845144
11272a102a
1215442b88
13a983200
146c58008
1548417ce
hex3171818

51845144 has 48 divisors (see below), whose sum is σ = 108745920. Its totient is φ = 23137920.

The previous prime is 51845141. The next prime is 51845149. The reversal of 51845144 is 44154815.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 51845144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51845141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41294 + ... + 42530.

It is an arithmetic number, because the mean of its divisors is an integer number (2265540).

Almost surely, 251845144 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 51845144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54372960).

51845144 is an abundant number, since it is smaller than the sum of its proper divisors (56900776).

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

51845144 is a wasteful number, since it uses less digits than its factorization.

51845144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1283 counting only the distinct ones).

The product of its digits is 12800, while the sum is 32.

The square root of 51845144 is about 7200.3572133610. The cubic root of 51845144 is about 372.8802333343.

Adding to 51845144 its reverse (44154815), we get a palindrome (95999959).

The spelling of 51845144 in words is "fifty-one million, eight hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 338 403 676 806 1237 1352 1612 2474 3224 4948 5239 9896 10478 16081 20956 32162 38347 41912 64324 76694 128648 153388 209053 306776 418106 498511 836212 997022 1672424 1994044 3988088 6480643 12961286 25922572 51845144