Search a number
-
+
212687408 = 241747127131
BaseRepresentation
bin11001010110101…
…01101000110000
3112211012122021102
430223111220300
5413421444113
633034343532
75161545623
oct1453255060
9484178242
10212687408
11aa06921a
125b28aba8
13350aa14b
1420365dba
1513a13758
hexcad5a30

212687408 has 80 divisors (see below), whose sum is σ = 452542464. Its totient is φ = 96445440.

The previous prime is 212687407. The next prime is 212687437. The reversal of 212687408 is 804786212.

It is not an unprimeable number, because it can be changed into a prime (212687407) 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, 1623503 + ... + 1623633.

Almost surely, 2212687408 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 212687408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226271232).

212687408 is an abundant number, since it is smaller than the sum of its proper divisors (239855056).

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

212687408 is a wasteful number, since it uses less digits than its factorization.

212687408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 212687408 is about 14583.8063618522. The cubic root of 212687408 is about 596.9169705344.

The spelling of 212687408 in words is "two hundred twelve million, six hundred eighty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 47 68 94 127 131 136 188 254 262 272 376 508 524 752 799 1016 1048 1598 2032 2096 2159 2227 3196 4318 4454 5969 6157 6392 8636 8908 11938 12314 12784 16637 17272 17816 23876 24628 33274 34544 35632 47752 49256 66548 95504 98512 101473 104669 133096 202946 209338 266192 282829 405892 418676 565658 781939 811784 837352 1131316 1563878 1623568 1674704 2262632 3127756 4525264 6255512 12511024 13292963 26585926 53171852 106343704 212687408