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51835212 = 2232111310069
BaseRepresentation
bin1100010110111…
…1000101001100
310121112111112200
43011233011030
5101232211322
65051001500
71166410032
oct305570514
9117474480
1051835212
1127294620
1215439290
13a97b830
146c54552
15483d8ac
hex316f14c

51835212 has 72 divisors (see below), whose sum is σ = 153950160. Its totient is φ = 14497920.

The previous prime is 51835181. The next prime is 51835213. The reversal of 51835212 is 21253815.

It is a happy number.

51835212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51835213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114 + ... + 10182.

Almost surely, 251835212 is an apocalyptic number.

51835212 is a gapful number since it is divisible by the number (52) 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 51835212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76975080).

51835212 is an abundant number, since it is smaller than the sum of its proper divisors (102114948).

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

51835212 is a wasteful number, since it uses less digits than its factorization.

51835212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10103 (or 10098 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 51835212 is about 7199.6674923221. The cubic root of 51835212 is about 372.8564208632.

The spelling of 51835212 in words is "fifty-one million, eight hundred thirty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 10069 20138 30207 40276 60414 90621 110759 120828 130897 181242 221518 261794 332277 362484 392691 443036 523588 664554 785382 996831 1178073 1329108 1439867 1570764 1993662 2356146 2879734 3987324 4319601 4712292 5759468 8639202 12958803 17278404 25917606 51835212