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8025702444 = 2232539974219
BaseRepresentation
bin1110111100101111…
…01000000000101100
3202201022202221000200
413132113220000230
5112414034434234
63404214353500
7402612226254
oct73627500054
922638687020
108025702444
113449333041
12167b95b890
139ab971c76
14561c78964
1531e8c5d99
hex1de5e802c

8025702444 has 72 divisors (see below), whose sum is σ = 20695605840. Its totient is φ = 2621503872.

The previous prime is 8025702439. The next prime is 8025702457. The reversal of 8025702444 is 4442075208.

8025702444 is a `hidden beast` number, since 80 + 2 + 570 + 2 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8025702399 and 8025702408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900167 + ... + 1904385.

It is an arithmetic number, because the mean of its divisors is an integer number (287438970).

Almost surely, 28025702444 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 8025702444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347802920).

8025702444 is an abundant number, since it is smaller than the sum of its proper divisors (12669903396).

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

8025702444 is a wasteful number, since it uses less digits than its factorization.

8025702444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 8025702444 is about 89586.2849101357. The cubic root of 8025702444 is about 2002.1395806145.

The spelling of 8025702444 in words is "eight billion, twenty-five million, seven hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 997 1908 1994 2991 3988 4219 5982 8438 8973 11964 12657 16876 17946 25314 35892 37971 50628 52841 75942 105682 151884 158523 211364 223607 317046 447214 475569 634092 670821 894428 951138 1341642 1902276 2012463 2683284 4024926 4206343 8049852 8412686 12619029 16825372 25238058 37857087 50476116 75714174 151428348 222936179 445872358 668808537 891744716 1337617074 2006425611 2675234148 4012851222 8025702444