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51248160 = 2533511863
BaseRepresentation
bin1100001101111…
…1110000100000
310120102200021000
43003133300200
5101104420120
65030232000
71161413355
oct303376040
9116380230
1051248160
1126a23557
12151b5600
13a804572
146b4062c
154774990
hex30dfc20

51248160 has 96 divisors (see below), whose sum is σ = 179383680. Its totient is φ = 13665024.

The previous prime is 51248147. The next prime is 51248161. The reversal of 51248160 is 6184215.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (51248161) 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, 1612 + ... + 10251.

It is an arithmetic number, because the mean of its divisors is an integer number (1868580).

Almost surely, 251248160 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 51248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89691840).

51248160 is an abundant number, since it is smaller than the sum of its proper divisors (128135520).

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

51248160 is a wasteful number, since it uses less digits than its factorization.

51248160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11887 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51248160 is about 7158.7820193103. The cubic root of 51248160 is about 371.4434967234.

The spelling of 51248160 in words is "fifty-one million, two hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 11863 23726 35589 47452 59315 71178 94904 106767 118630 142356 177945 189808 213534 237260 284712 320301 355890 379616 427068 474520 533835 569424 640602 711780 854136 949040 1067670 1138848 1281204 1423560 1601505 1708272 1898080 2135340 2562408 2847120 3203010 3416544 4270680 5124816 5694240 6406020 8541360 10249632 12812040 17082720 25624080 51248160