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814155852 = 2231931127907
BaseRepresentation
bin110000100001110…
…000100001001100
32002201222101212110
4300201300201030
53131410441402
6212442104020
726114132136
oct6041604114
92081871773
10814155852
1138862a384
121a87ab010
13cc89b233
147a1b2056
154b72156c
hex3087084c

814155852 has 96 divisors (see below), whose sum is σ = 2082734080. Its totient is φ = 246576960.

The previous prime is 814155799. The next prime is 814155869. The reversal of 814155852 is 258551418.

It is a self number, because there is not a number n which added to its sum of digits gives 814155852.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897183 + ... + 898089.

Almost surely, 2814155852 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 814155852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041367040).

814155852 is an abundant number, since it is smaller than the sum of its proper divisors (1268578228).

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

814155852 is a wasteful number, since it uses less digits than its factorization.

814155852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1089 counting only the distinct ones).

The product of its digits is 64000, while the sum is 39.

The square root of 814155852 is about 28533.4164095364. The cubic root of 814155852 is about 933.7612550771.

The spelling of 814155852 in words is "eight hundred fourteen million, one hundred fifty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 127 186 228 254 372 381 508 589 762 907 1178 1524 1767 1814 2356 2413 2721 3534 3628 3937 4826 5442 7068 7239 7874 9652 10884 11811 14478 15748 17233 23622 28117 28956 34466 47244 51699 56234 68932 74803 84351 103398 112468 115189 149606 168702 206796 224409 230378 299212 337404 345567 448818 460756 534223 691134 897636 1068446 1382268 1602669 2136892 2188591 3205338 3570859 4377182 6410676 6565773 7141718 8754364 10712577 13131546 14283436 21425154 26263092 42850308 67846321 135692642 203538963 271385284 407077926 814155852