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7821093852 = 223211137919231
BaseRepresentation
bin1110100100010110…
…00110101111011100
3202012001202201210200
413102023012233130
5112004200000402
63332025103500
7364546125615
oct72213065734
922161681720
107821093852
113353892630
121623327b90
139784630b0
14542a16c0c
1530b95b21c
hex1d22c6bdc

7821093852 has 144 divisors (see below), whose sum is σ = 23521505280. Its totient is φ = 2159913600.

The previous prime is 7821093827. The next prime is 7821093853. The reversal of 7821093852 is 2583901287.

It is a happy number.

It is a super-2 number, since 2×78210938522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7821093798 and 7821093807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7821093853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397077 + ... + 416307.

Almost surely, 27821093852 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 7821093852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760752640).

7821093852 is an abundant number, since it is smaller than the sum of its proper divisors (15700411428).

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

7821093852 is a wasteful number, since it uses less digits than its factorization.

7821093852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19344 (or 19339 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 7821093852 is about 88436.9484548172. The cubic root of 7821093852 is about 1984.9786157962.

The spelling of 7821093852 in words is "seven billion, eight hundred twenty-one million, ninety-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 79 99 117 132 143 156 158 198 234 237 286 316 396 429 468 474 572 711 858 869 948 1027 1287 1422 1716 1738 2054 2574 2607 2844 3081 3476 4108 5148 5214 6162 7821 9243 10428 11297 12324 15642 18486 19231 22594 31284 33891 36972 38462 45188 57693 67782 76924 101673 115386 135564 173079 203346 211541 230772 250003 346158 406692 423082 500006 634623 692316 750009 846164 1000012 1269246 1500018 1519249 1903869 2250027 2538492 2750033 3000036 3038498 3807738 4500054 4557747 5500066 6076996 7615476 8250099 9000108 9115494 11000132 13673241 16500198 16711739 18230988 19750237 24750297 27346482 33000396 33423478 39500474 49500594 50135217 54692964 59250711 66846956 79000948 99001188 100270434 118501422 150405651 177752133 200540868 217252607 237002844 300811302 355504266 434505214 601622604 651757821 711008532 869010428 1303515642 1955273463 2607031284 3910546926 7821093852