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865040472 = 23344333083
BaseRepresentation
bin110011100011110…
…111100001011000
32020021201121110000
4303203313201120
53232422243342
6221500453000
730302502612
oct6343674130
92207647400
10865040472
1140432478a
1220184a160
1310a2a618a
1482c59db2
1550e2344c
hex338f7858

865040472 has 80 divisors (see below), whose sum is σ = 2429297640. Its totient is φ = 287587584.

The previous prime is 865040411. The next prime is 865040479. The reversal of 865040472 is 274040568.

865040472 is a `hidden beast` number, since 86 + 504 + 0 + 4 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865040479) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279043 + ... + 282125.

Almost surely, 2865040472 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 865040472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214648820).

865040472 is an abundant number, since it is smaller than the sum of its proper divisors (1564257168).

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

865040472 is a wasteful number, since it uses less digits than its factorization.

865040472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 865040472 is about 29411.5703762992. The cubic root of 865040472 is about 952.8228033550.

The spelling of 865040472 in words is "eight hundred sixty-five million, forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 433 648 866 1299 1732 2598 3083 3464 3897 5196 6166 7794 9249 10392 11691 12332 15588 18498 23382 24664 27747 31176 35073 36996 46764 55494 70146 73992 83241 93528 110988 140292 166482 221976 249723 280584 332964 499446 665928 998892 1334939 1997784 2669878 4004817 5339756 8009634 10679512 12014451 16019268 24028902 32038536 36043353 48057804 72086706 96115608 108130059 144173412 216260118 288346824 432520236 865040472