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51364544 = 2672111489
BaseRepresentation
bin1100001111110…
…0001011000000
310120122120220112
43003330023000
5101122131134
65032530452
71162406600
oct303741300
9116576815
1051364544
1126aa2a40
1215250a28
13a84552a
146b70c00
1547991ce
hex30fc2c0

51364544 has 84 divisors (see below), whose sum is σ = 129433320. Its totient is φ = 19998720.

The previous prime is 51364519. The next prime is 51364549. The reversal of 51364544 is 44546315.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 51364544.

It is not an unprimeable number, because it can be changed into a prime (51364549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33752 + ... + 35240.

Almost surely, 251364544 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 51364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64716660).

51364544 is an abundant number, since it is smaller than the sum of its proper divisors (78068776).

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

51364544 is a wasteful number, since it uses less digits than its factorization.

51364544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1509 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 51364544 is about 7166.9061665408. The cubic root of 51364544 is about 371.7244654850.

The spelling of 51364544 in words is "fifty-one million, three hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 392 448 539 616 704 784 1078 1232 1489 1568 2156 2464 2978 3136 4312 4928 5956 8624 10423 11912 16379 17248 20846 23824 32758 34496 41692 47648 65516 72961 83384 95296 114653 131032 145922 166768 229306 262064 291844 333536 458612 524128 583688 667072 802571 917224 1048256 1167376 1605142 1834448 2334752 3210284 3668896 4669504 6420568 7337792 12841136 25682272 51364544