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8028078324 = 22371011039187
BaseRepresentation
bin1110111101000001…
…01100000011110100
3202201111020122010020
413132200230003310
5112420142001244
63404341325140
7402641353110
oct73640540364
922644218106
108028078324
11344a706082
1216807067b0
139ac2c4506
145622d6740
1531ebe4d19
hex1de82c0f4

8028078324 has 96 divisors (see below), whose sum is σ = 21832452096. Its totient is φ = 2248732800.

The previous prime is 8028078299. The next prime is 8028078329. The reversal of 8028078324 is 4238708208.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8028078329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869259 + ... + 878445.

It is an arithmetic number, because the mean of its divisors is an integer number (227421376).

Almost surely, 28028078324 is an apocalyptic number.

8028078324 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8028078324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10916226048).

8028078324 is an abundant number, since it is smaller than the sum of its proper divisors (13804373772).

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

8028078324 is a wasteful number, since it uses less digits than its factorization.

8028078324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405 (or 9403 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 8028078324 is about 89599.5442175907. The cubic root of 8028078324 is about 2002.3371281854.

The spelling of 8028078324 in words is "eight billion, twenty-eight million, seventy-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 103 202 206 303 309 404 412 606 618 707 721 1212 1236 1414 1442 2121 2163 2828 2884 4242 4326 8484 8652 9187 10403 18374 20806 27561 31209 36748 41612 55122 62418 64309 72821 110244 124836 128618 145642 192927 218463 257236 291284 385854 436926 771708 873852 927887 946261 1855774 1892522 2783661 2838783 3711548 3785044 5567322 5677566 6495209 6623827 11134644 11355132 12990418 13247654 19485627 19871481 25980836 26495308 38971254 39742962 77942508 79485924 95572361 191144722 286717083 382289444 573434166 669006527 1146868332 1338013054 2007019581 2676026108 4014039162 8028078324