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212876442 = 23231478117
BaseRepresentation
bin11001011000000…
…11110010011010
3112211120020120200
430230003302122
5413444021232
633042403030
75163264012
oct1454036232
9484506520
10212876442
11aa188249
125b360476
13351451bc
14203b4c42
1513a4e77c
hexcb03c9a

212876442 has 48 divisors (see below), whose sum is σ = 486300672. Its totient is φ = 67200480.

The previous prime is 212876413. The next prime is 212876459. The reversal of 212876442 is 244678212.

212876442 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 7 + 644 + 2 = 666.

212876442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212876397 and 212876406.

It is an unprimeable number.

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, 22168 + ... + 30284.

It is an arithmetic number, because the mean of its divisors is an integer number (10131264).

Almost surely, 2212876442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212876442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243150336).

212876442 is an abundant number, since it is smaller than the sum of its proper divisors (273424230).

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

212876442 is a wasteful number, since it uses less digits than its factorization.

212876442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203 (or 8200 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 212876442 is about 14590.2858779395. The cubic root of 212876442 is about 597.0937623665.

The spelling of 212876442 in words is "two hundred twelve million, eight hundred seventy-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 47 62 93 94 141 186 279 282 423 558 846 1457 2914 4371 8117 8742 13113 16234 24351 26226 48702 73053 146106 251627 381499 503254 754881 762998 1144497 1509762 2264643 2288994 3433491 4529286 6866982 11826469 23652938 35479407 70958814 106438221 212876442