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872109492 = 2232310729531
BaseRepresentation
bin110011111110110…
…101010110110100
32020210000202022120
4303332311112310
53241230000432
6222312155540
730416544162
oct6376652664
92223022276
10872109492
11408312851
12204098bb0
1310b8ac927
1483b7a232
155186cc2c
hex33fb55b4

872109492 has 48 divisors (see below), whose sum is σ = 2143314432. Its totient is φ = 275455840.

The previous prime is 872109463. The next prime is 872109493. The reversal of 872109492 is 294901278.

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 (872109493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14767 + ... + 44297.

It is an arithmetic number, because the mean of its divisors is an integer number (44652384).

Almost surely, 2872109492 is an apocalyptic number.

It is a pronic number, being equal to 29531×29532.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872109492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071657216).

872109492 is an abundant number, since it is smaller than the sum of its proper divisors (1271204940).

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

872109492 is a wasteful number, since it uses less digits than its factorization.

872109492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29668 (or 29666 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 872109492 is about 29531.4999957672. The cubic root of 872109492 is about 955.4112213482.

The spelling of 872109492 in words is "eight hundred seventy-two million, one hundred nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 1284 2461 4922 7383 9844 14766 29531 29532 59062 88593 118124 177186 354372 679213 1358426 2037639 2716852 3159817 4075278 6319634 8150556 9479451 12639268 18958902 37917804 72675791 145351582 218027373 290703164 436054746 872109492