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51364044 = 2234473373
BaseRepresentation
bin1100001111110…
…0000011001100
310120122120020000
43003330003030
5101122122134
65032524300
71162405254
oct303740314
9116576200
1051364044
1126aa2626
1215250690
13a845234
146b70964
154798e99
hex30fc0cc

51364044 has 60 divisors (see below), whose sum is σ = 137173344. Its totient is φ = 16752096.

The previous prime is 51364039. The next prime is 51364051. The reversal of 51364044 is 44046315.

51364044 is a `hidden beast` number, since 5 + 13 + 640 + 4 + 4 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 51363999 and 51364017.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13542 + ... + 16914.

Almost surely, 251364044 is an apocalyptic number.

51364044 is a gapful number since it is divisible by the number (54) 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 51364044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68586672).

51364044 is an abundant number, since it is smaller than the sum of its proper divisors (85809300).

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

51364044 is a wasteful number, since it uses less digits than its factorization.

51364044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 51364044 is about 7166.8712839007. The cubic root of 51364044 is about 371.7232593168.

It can be divided in two parts, 5136 and 4044, that added together give a triangular number (9180 = T135).

The spelling of 51364044 in words is "fifty-one million, three hundred sixty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3373 3807 5076 6746 7614 10119 13492 15228 20238 30357 40476 60714 91071 121428 158531 182142 273213 317062 364284 475593 546426 634124 951186 1092852 1426779 1902372 2853558 4280337 5707116 8560674 12841011 17121348 25682022 51364044