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2824982352 = 243343152077
BaseRepresentation
bin1010100001100001…
…1100111101010000
321021212200222021000
42220120130331100
521241143413402
61144153102000
7130001645103
oct25030347520
97255628230
102824982352
11121a6a1065
1266a0b7900
133603663ba
141cb28873a
15118021c1c
hexa861cf50

2824982352 has 80 divisors (see below), whose sum is σ = 8297375680. Its totient is φ = 919755648.

The previous prime is 2824982341. The next prime is 2824982357. The reversal of 2824982352 is 2532894282.

It is a super-2 number, since 2×28249823522 = 15961050578222903808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2824982298 and 2824982307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824982357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57463 + ... + 94614.

It is an arithmetic number, because the mean of its divisors is an integer number (103717196).

Almost surely, 22824982352 is an apocalyptic number.

It is an amenable number.

2824982352 is an abundant number, since it is smaller than the sum of its proper divisors (5472393328).

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

2824982352 is a wasteful number, since it uses less digits than its factorization.

2824982352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152137 (or 152125 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2824982352 is about 53150.5630449951. The cubic root of 2824982352 is about 1413.6392003450.

The spelling of 2824982352 in words is "two billion, eight hundred twenty-four million, nine hundred eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 18576 152077 304154 456231 608308 912462 1216616 1368693 1824924 2433232 2737386 3649848 4106079 5474772 6539311 7299696 8212158 10949544 13078622 16424316 19617933 21899088 26157244 32848632 39235866 52314488 58853799 65697264 78471732 104628976 117707598 156943464 176561397 235415196 313886928 353122794 470830392 706245588 941660784 1412491176 2824982352