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212949856 = 25747113179
BaseRepresentation
bin11001011000101…
…01101101100000
3112211200222021201
430230111231200
5414003343411
633044130544
75164021030
oct1454255540
9484628251
10212949856
11aa228419
125b396a54
133516c742
14203d38c0
1513a663c1
hexcb15b60

212949856 has 96 divisors (see below), whose sum is σ = 496419840. Its totient is φ = 88037376.

The previous prime is 212949811. The next prime is 212949857. The reversal of 212949856 is 658949212.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212949857) 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 15 ways as a sum of consecutive naturals, for example, 1189575 + ... + 1189753.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2212949856 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 212949856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

212949856 is an abundant number, since it is smaller than the sum of its proper divisors (283469984).

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

212949856 is a wasteful number, since it uses less digits than its factorization.

212949856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 212949856 is about 14592.8015130749. The cubic root of 212949856 is about 597.1623937330.

The spelling of 212949856 in words is "two hundred twelve million, nine hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 113 179 188 224 226 329 358 376 452 658 716 752 791 904 1253 1316 1432 1504 1582 1808 2506 2632 2864 3164 3616 5012 5264 5311 5728 6328 8413 10024 10528 10622 12656 16826 20048 20227 21244 25312 33652 37177 40096 40454 42488 58891 67304 74354 80908 84976 117782 134608 141589 148708 161816 169952 235564 269216 283178 297416 323632 471128 566356 594832 647264 942256 950669 1132712 1189664 1884512 1901338 2265424 3802676 4530848 6654683 7605352 13309366 15210704 26618732 30421408 53237464 106474928 212949856