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51369984 = 21133929
BaseRepresentation
bin1100001111110…
…1100000000000
310120122212101000
43003331200000
5101122314414
65033012000
71162431501
oct303754000
9116585330
1051369984
1126aa7036
1215254000
13a847b53
146b72ba8
15479ab09
hex30fd800

51369984 has 96 divisors (see below), whose sum is σ = 152334000. Its totient is φ = 17104896.

The previous prime is 51369979. The next prime is 51370009. The reversal of 51369984 is 48996315.

It is a happy number.

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

Its product of digits (233280) is a multiple of the sum of its prime factors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54832 + ... + 55760.

Almost surely, 251369984 is an apocalyptic number.

51369984 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 51369984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76167000).

51369984 is an abundant number, since it is smaller than the sum of its proper divisors (100964016).

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

51369984 is an equidigital number, since it uses as much as digits as its factorization.

51369984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 934 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 51369984 is about 7167.2856786932. The cubic root of 51369984 is about 371.7375880889.

The spelling of 51369984 in words is "fifty-one million, three hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 929 1024 1152 1536 1728 1858 2048 2304 2787 3072 3456 3716 4608 5574 6144 6912 7432 8361 9216 11148 13824 14864 16722 18432 22296 25083 27648 29728 33444 44592 50166 55296 59456 66888 89184 100332 118912 133776 178368 200664 237824 267552 356736 401328 475648 535104 713472 802656 951296 1070208 1426944 1605312 1902592 2140416 2853888 3210624 4280832 5707776 6421248 8561664 12842496 17123328 25684992 51369984