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212108448 = 25331263271
BaseRepresentation
bin11001010010010…
…00010010100000
3112210010020002110
430221020102200
5413244432243
633014115320
75153614656
oct1451102240
9483106073
10212108448
11a9803242
125b04bb40
1334c36776
1420254dd6
151394be33
hexca484a0

212108448 has 96 divisors (see below), whose sum is σ = 579059712. Its totient is φ = 67910400.

The previous prime is 212108431. The next prime is 212108459. The reversal of 212108448 is 844801212.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782553 + ... + 782823.

It is an arithmetic number, because the mean of its divisors is an integer number (6031872).

Almost surely, 2212108448 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 212108448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289529856).

212108448 is an abundant number, since it is smaller than the sum of its proper divisors (366951264).

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

212108448 is a wasteful number, since it uses less digits than its factorization.

212108448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 212108448 is about 14563.9434220269. The cubic root of 212108448 is about 596.3748523975.

The spelling of 212108448 in words is "two hundred twelve million, one hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 263 271 372 496 526 542 744 789 813 992 1052 1084 1488 1578 1626 2104 2168 2976 3156 3252 4208 4336 6312 6504 8153 8401 8416 8672 12624 13008 16306 16802 24459 25203 25248 26016 32612 33604 48918 50406 65224 67208 71273 97836 100812 130448 134416 142546 195672 201624 213819 260896 268832 285092 391344 403248 427638 570184 782688 806496 855276 1140368 1710552 2209463 2280736 3421104 4418926 6628389 6842208 8837852 13256778 17675704 26513556 35351408 53027112 70702816 106054224 212108448