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5270072382 = 234181191941
BaseRepresentation
bin1001110100001111…
…01110110000111110
3111121021120102020000
410322013232300332
541243114304012
62230535535130
7244411606341
oct47207566076
914537512200
105270072382
112264900423
121030b2a4a6
1365caab633
1437dcc4458
1520ca02ddc
hex13a1eec3e

5270072382 has 80 divisors (see below), whose sum is σ = 11948961024. Its totient is φ = 1735992000.

The previous prime is 5270072377. The next prime is 5270072387. The reversal of 5270072382 is 2832700725.

It is a happy number.

5270072382 is a `hidden beast` number, since 5 + 270 + 0 + 7 + 2 + 382 = 666.

It is an interprime number because it is at equal distance from previous prime (5270072377) and next prime (5270072387).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5270072387) 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 39 ways as a sum of consecutive naturals, for example, 5600032 + ... + 5600972.

Almost surely, 25270072382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5270072382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974480512).

5270072382 is an abundant number, since it is smaller than the sum of its proper divisors (6678888642).

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

5270072382 is a wasteful number, since it uses less digits than its factorization.

5270072382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5270072382 is about 72595.2641843805. The cubic root of 5270072382 is about 1740.2254939627.

The spelling of 5270072382 in words is "five billion, two hundred seventy million, seventy-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 191 362 382 543 573 941 1086 1146 1629 1719 1882 2823 3258 3438 4887 5157 5646 8469 9774 10314 14661 15471 16938 25407 29322 30942 34571 50814 69142 76221 103713 152442 170321 179731 207426 311139 340642 359462 510963 539193 622278 933417 1021926 1078386 1532889 1617579 1866834 2800251 3065778 3235158 4598667 4852737 5600502 9197334 9705474 13796001 14558211 27592002 29116422 32531311 65062622 97593933 195187866 292781799 585563598 878345397 1756690794 2635036191 5270072382