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51842112 = 2637172269
BaseRepresentation
bin1100010111000…
…0110001000000
310121112212000020
43011300301000
5101232421422
65051053440
71166436120
oct305606100
9117485006
1051842112
1127299823
1215441280
13a981a0a
146c56c80
15484095c
hex3170c40

51842112 has 112 divisors (see below), whose sum is σ = 166055040. Its totient is φ = 13934592.

The previous prime is 51842107. The next prime is 51842117. The reversal of 51842112 is 21124815.

It is an interprime number because it is at equal distance from previous prime (51842107) and next prime (51842117).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (51842117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21714 + ... + 23982.

Almost surely, 251842112 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 51842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83027520).

51842112 is an abundant number, since it is smaller than the sum of its proper divisors (114212928).

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

51842112 is a wasteful number, since it uses less digits than its factorization.

51842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2298 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 51842112 is about 7200.1466651729. The cubic root of 51842112 is about 372.8729642839.

Adding to 51842112 its reverse (21124815), we get a palindrome (72966927).

The spelling of 51842112 in words is "fifty-one million, eight hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2269 2856 3264 3808 4538 5712 6807 7616 9076 11424 13614 15883 18152 22848 27228 31766 36304 38573 47649 54456 63532 72608 77146 95298 108912 115719 127064 145216 154292 190596 217824 231438 254128 270011 308584 381192 435648 462876 508256 540022 617168 762384 810033 925752 1016512 1080044 1234336 1524768 1620066 1851504 2160088 2468672 3049536 3240132 3703008 4320176 6480264 7406016 8640352 12960528 17280704 25921056 51842112