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51452226 = 2337791723
BaseRepresentation
bin1100010001000…
…1100101000010
310120211001012000
43010101211002
5101132432401
65034444430
71163223330
oct304214502
9116731160
1051452226
1127052901
1215293716
13a876407
146b94b50
1547b5186
hex3111942

51452226 has 64 divisors (see below), whose sum is σ = 132403200. Its totient is φ = 14506128.

The previous prime is 51452213. The next prime is 51452227. The reversal of 51452226 is 62225415.

It is a super-3 number, since 3×514522263 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51452226.

It is not an unprimeable number, because it can be changed into a prime (51452227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29001 + ... + 30723.

It is an arithmetic number, because the mean of its divisors is an integer number (2068800).

Almost surely, 251452226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51452226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66201600).

51452226 is an abundant number, since it is smaller than the sum of its proper divisors (80950974).

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

51452226 is a wasteful number, since it uses less digits than its factorization.

51452226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 51452226 is about 7173.0207026050. The cubic root of 51452226 is about 371.9358630322.

The spelling of 51452226 in words is "fifty-one million, four hundred fifty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 378 474 553 711 1106 1422 1659 1723 2133 3318 3446 4266 4977 5169 9954 10338 12061 14931 15507 24122 29862 31014 36183 46521 72366 93042 108549 136117 217098 272234 325647 408351 651294 816702 952819 1225053 1905638 2450106 2858457 3675159 5716914 7350318 8575371 17150742 25726113 51452226