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823241472 = 2834722807
BaseRepresentation
bin110001000100011…
…010101100000000
32010101001222222220
4301010122230000
53141222211342
6213404531040
726254302624
oct6104325400
92111058886
10823241472
11392775559
121ab850a80
1310172c841
147b499184
154c4185ec
hex3111ab00

823241472 has 72 divisors (see below), whose sum is σ = 2237738496. Its totient is φ = 268563456.

The previous prime is 823241459. The next prime is 823241479. The reversal of 823241472 is 274142328.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (823241479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24693 + ... + 47499.

Almost surely, 2823241472 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 823241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118869248).

823241472 is an abundant number, since it is smaller than the sum of its proper divisors (1414497024).

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

823241472 is a wasteful number, since it uses less digits than its factorization.

823241472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22873 (or 22859 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 823241472 is about 28692.1848592957. The cubic root of 823241472 is about 937.2218683560.

The spelling of 823241472 in words is "eight hundred twenty-three million, two hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 4512 6016 9024 12032 18048 22807 36096 45614 68421 91228 136842 182456 273684 364912 547368 729824 1071929 1094736 1459648 2143858 2189472 2919296 3215787 4287716 4378944 5838592 6431574 8575432 8757888 12863148 17150864 17515776 25726296 34301728 51452592 68603456 102905184 137206912 205810368 274413824 411620736 823241472