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3212049820 = 2257233133187
BaseRepresentation
bin1011111101110011…
…1111110110011100
322021212001001000011
42333130333312130
523034241043240
61250421213004
7142411654510
oct27734776634
98255031004
103212049820
1113a9133631
12757861164
133c25ca3c5
14226844140
1513becd6ea
hexbf73fd9c

3212049820 has 96 divisors (see below), whose sum is σ = 8072322048. Its totient is φ = 1049697792.

The previous prime is 3212049811. The next prime is 3212049829. The reversal of 3212049820 is 289402123.

It is an interprime number because it is at equal distance from previous prime (3212049811) and next prime (3212049829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212049829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006267 + ... + 1009453.

It is an arithmetic number, because the mean of its divisors is an integer number (84086688).

Almost surely, 23212049820 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 3212049820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036161024).

3212049820 is an abundant number, since it is smaller than the sum of its proper divisors (4860272228).

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

3212049820 is a wasteful number, since it uses less digits than its factorization.

3212049820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 3212049820 is about 56674.9487869200. The cubic root of 3212049820 is about 1475.4599458076.

The spelling of 3212049820 in words is "three billion, two hundred twelve million, forty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 313 322 460 626 644 805 1252 1565 1610 2191 3130 3187 3220 4382 6260 6374 7199 8764 10955 12748 14398 15935 21910 22309 28796 31870 35995 43820 44618 50393 63740 71990 73301 89236 100786 111545 143980 146602 201572 223090 251965 293204 366505 446180 503930 513107 733010 997531 1007860 1026214 1466020 1995062 2052428 2565535 3990124 4987655 5131070 6982717 9975310 10262140 13965434 19950620 22943213 27930868 34913585 45886426 69827170 91772852 114716065 139654340 160602491 229432130 321204982 458864260 642409964 803012455 1606024910 3212049820