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805950144 = 26321782307
BaseRepresentation
bin110000000010011…
…101001011000000
32002011112111202100
4300002131023000
53122310401034
6211550150400
725654314606
oct6002351300
92064474670
10805950144
11383a352aa
121a5ab2400
13cac8729c
1479077876
154ab50099
hex3009d2c0

805950144 has 84 divisors (see below), whose sum is σ = 2446029144. Its totient is φ = 252844032.

The previous prime is 805950137. The next prime is 805950163. The reversal of 805950144 is 441059508.

It is a super-2 number, since 2×8059501442 = 1299111269227241472, which contains 22 as substring.

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 = 805950099 and 805950108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31362 + ... + 50945.

Almost surely, 2805950144 is an apocalyptic number.

It is an amenable number.

805950144 is an abundant number, since it is smaller than the sum of its proper divisors (1640079000).

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

805950144 is a wasteful number, since it uses less digits than its factorization.

805950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82342 (or 82329 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 805950144 is about 28389.2610682279. The cubic root of 805950144 is about 930.6135943806.

The spelling of 805950144 in words is "eight hundred five million, nine hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 82307 164614 246921 329228 493842 658456 740763 987684 1316912 1399219 1481526 1975368 2633824 2798438 2963052 3950736 4197657 5267648 5596876 5926104 7901472 8395314 11193752 11852208 12592971 15802944 16790628 22387504 23704416 25185942 33581256 44775008 47408832 50371884 67162512 89550016 100743768 134325024 201487536 268650048 402975072 805950144