Search a number
-
+
212675424 = 25313170413
BaseRepresentation
bin11001010110100…
…10101101100000
3112211012000211120
430223102231200
5413421103144
633034212240
75161465653
oct1453225540
9484160746
10212675424
11aa060215
125b284080
13350a4860
142036189a
1513a0ee19
hexcad2b60

212675424 has 48 divisors (see below), whose sum is σ = 601220592. Its totient is φ = 65438208.

The previous prime is 212675369. The next prime is 212675429. The reversal of 212675424 is 424576212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212675429) 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 7 ways as a sum of consecutive naturals, for example, 83959 + ... + 86454.

It is an arithmetic number, because the mean of its divisors is an integer number (12525429).

Almost surely, 2212675424 is an apocalyptic number.

212675424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212675424 is an abundant number, since it is smaller than the sum of its proper divisors (388545168).

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

212675424 is a wasteful number, since it uses less digits than its factorization.

212675424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170439 (or 170431 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 212675424 is about 14583.3954893914. The cubic root of 212675424 is about 596.9057591085.

The spelling of 212675424 in words is "two hundred twelve million, six hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 170413 340826 511239 681652 1022478 1363304 2044956 2215369 2726608 4089912 4430738 5453216 6646107 8179824 8861476 13292214 16359648 17722952 26584428 35445904 53168856 70891808 106337712 212675424