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212765052 = 223473111213
BaseRepresentation
bin11001010111010…
…00100101111100
3112211100120210010
430223220211330
5413431440202
633040143220
75162321163
oct1453504574
9484316703
10212765052
11aa111595
125b307b10
13351065a6
14203863da
1513a2b76c
hexcae897c

212765052 has 48 divisors (see below), whose sum is σ = 509064192. Its totient is φ = 69132480.

The previous prime is 212765017. The next prime is 212765053. The reversal of 212765052 is 250567212.

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

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 (212765053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174798 + ... + 176010.

It is an arithmetic number, because the mean of its divisors is an integer number (10605504).

Almost surely, 2212765052 is an apocalyptic number.

It is an amenable number.

212765052 is an abundant number, since it is smaller than the sum of its proper divisors (296299140).

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

212765052 is a wasteful number, since it uses less digits than its factorization.

212765052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 212765052 is about 14586.4681126035. The cubic root of 212765052 is about 596.9895988469.

The spelling of 212765052 in words is "two hundred twelve million, seven hundred sixty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 311 564 622 933 1213 1244 1866 2426 3639 3732 4852 7278 14556 14617 29234 43851 57011 58468 87702 114022 171033 175404 228044 342066 377243 684132 754486 1131729 1508972 2263458 4526916 17730421 35460842 53191263 70921684 106382526 212765052