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864072495 = 335112132313
BaseRepresentation
bin110011100000001…
…011001100101111
32020012220102122000
4303200023030233
53232200304440
6221424023343
730261331536
oct6340131457
92205812560
10864072495
11403823500
12201461b53
1310a027700
1482a8731d
1550cd1730
hex3380b32f

864072495 has 144 divisors (see below), whose sum is σ = 1834187040. Its totient is φ = 385482240.

The previous prime is 864072493. The next prime is 864072551. The reversal of 864072495 is 594270468.

It is a happy number.

864072495 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 864072495 - 21 = 864072493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 864072495.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864072493) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2760459 + ... + 2760771.

It is an arithmetic number, because the mean of its divisors is an integer number (12737410).

Almost surely, 2864072495 is an apocalyptic number.

864072495 is an abundant number, since it is smaller than the sum of its proper divisors (970114545).

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

864072495 is a wasteful number, since it uses less digits than its factorization.

864072495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 864072495 is about 29395.1100525240. The cubic root of 864072495 is about 952.4672690098.

The spelling of 864072495 in words is "eight hundred sixty-four million, seventy-two thousand, four hundred ninety-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 121 135 143 165 169 195 297 313 351 363 429 495 507 585 605 715 845 939 1089 1287 1485 1521 1565 1573 1755 1815 1859 2145 2535 2817 3267 3443 3861 4069 4563 4695 4719 5445 5577 6435 7605 7865 8451 9295 10329 12207 14085 14157 16335 16731 17215 19305 20345 20449 22815 23595 27885 30987 36621 37873 42255 42471 44759 50193 51645 52897 61035 61347 70785 83655 92961 102245 109863 113619 134277 154935 158691 183105 184041 189365 212355 223795 250965 264485 306735 340857 402831 464805 476073 492349 549315 552123 568095 581867 671385 793455 920205 1022571 1208493 1428219 1477047 1704285 1745601 2014155 2380365 2461745 2760615 2909335 4431141 5112855 5236803 6042465 6400537 7141095 7385235 8728005 13293423 15710409 19201611 22155705 26184015 32002685 57604833 66467115 78552045 96008055 172814499 288024165 864072495