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51208192 = 21371947
BaseRepresentation
bin1100001101011…
…0000000000000
310120100122102201
43003112000000
5101102130232
65025322544
71161156010
oct303260000
9116318381
1051208192
11269a6522
1215196454
13a7bc309
146b2dc40
154767be7
hex30d6000

51208192 has 112 divisors (see below), whose sum is σ = 125821440. Its totient is φ = 20348928.

The previous prime is 51208153. The next prime is 51208207. The reversal of 51208192 is 29180215.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 51208192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1089513 + ... + 1089559.

Almost surely, 251208192 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 51208192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62910720).

51208192 is an abundant number, since it is smaller than the sum of its proper divisors (74613248).

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

51208192 is an equidigital number, since it uses as much as digits as its factorization.

51208192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 51208192 is about 7155.9899385061. The cubic root of 51208192 is about 371.3469097453.

The spelling of 51208192 in words is "fifty-one million, two hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 47 56 64 76 94 112 128 133 152 188 224 256 266 304 329 376 448 512 532 608 658 752 893 896 1024 1064 1216 1316 1504 1786 1792 2048 2128 2432 2632 3008 3572 3584 4096 4256 4864 5264 6016 6251 7144 7168 8192 8512 9728 10528 12032 12502 14288 14336 17024 19456 21056 24064 25004 28576 28672 34048 38912 42112 48128 50008 57152 57344 68096 77824 84224 96256 100016 114304 136192 155648 168448 192512 200032 228608 272384 336896 385024 400064 457216 544768 673792 800128 914432 1089536 1347584 1600256 1828864 2695168 3200512 3657728 6401024 7315456 12802048 25604096 51208192