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51396768 = 253479251
BaseRepresentation
bin1100010000010…
…0000010100000
310120201020010000
43010010002200
5101124144033
65033340000
71162602543
oct304040240
9116636100
1051396768
1127015175
1215267600
13a8570b7
146b7c85a
1547a3a13
hex31040a0

51396768 has 120 divisors (see below), whose sum is σ = 153679680. Its totient is φ = 16848000.

The previous prime is 51396757. The next prime is 51396769. The reversal of 51396768 is 86769315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (51396769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204643 + ... + 204893.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 251396768 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 51396768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76839840).

51396768 is an abundant number, since it is smaller than the sum of its proper divisors (102282912).

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

51396768 is a wasteful number, since it uses less digits than its factorization.

51396768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 51396768 is about 7169.1539249761. The cubic root of 51396768 is about 371.8021841094.

The spelling of 51396768 in words is "fifty-one million, three hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 251 288 316 324 432 474 502 632 648 711 753 864 948 1004 1264 1296 1422 1506 1896 2008 2133 2259 2528 2592 2844 3012 3792 4016 4266 4518 5688 6024 6399 6777 7584 8032 8532 9036 11376 12048 12798 13554 17064 18072 19829 20331 22752 24096 25596 27108 34128 36144 39658 40662 51192 54216 59487 68256 72288 79316 81324 102384 108432 118974 158632 162648 178461 204768 216864 237948 317264 325296 356922 475896 535383 634528 650592 713844 951792 1070766 1427688 1606149 1903584 2141532 2855376 3212298 4283064 5710752 6424596 8566128 12849192 17132256 25698384 51396768