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2813408952 = 2339710131193
BaseRepresentation
bin1010011110110001…
…0011011010111000
321021001220222112120
42213230103122320
521230213041302
61143101041240
7126501403314
oct24754233270
97231828476
102813408952
111214106872
12666256220
1335ab43633
141c9914b44
15116ed79bc
hexa7b136b8

2813408952 has 64 divisors (see below), whose sum is σ = 7119010080. Its totient is φ = 926441472.

The previous prime is 2813408881. The next prime is 2813408953. The reversal of 2813408952 is 2598043182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813408953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2357668 + ... + 2358860.

Almost surely, 22813408952 is an apocalyptic number.

It is an amenable number.

2813408952 is an abundant number, since it is smaller than the sum of its proper divisors (4305601128).

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

2813408952 is a wasteful number, since it uses less digits than its factorization.

2813408952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2813408952 is about 53041.5775783489. The cubic root of 2813408952 is about 1411.7060903351.

The spelling of 2813408952 in words is "two billion, eight hundred thirteen million, four hundred eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 776 1013 1164 1193 2026 2328 2386 3039 3579 4052 4772 6078 7158 8104 9544 12156 14316 24312 28632 98261 115721 196522 231442 294783 347163 393044 462884 589566 694326 786088 925768 1179132 1208509 1388652 2358264 2417018 2777304 3625527 4834036 7251054 9668072 14502108 29004216 117225373 234450746 351676119 468901492 703352238 937802984 1406704476 2813408952