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2875531540 = 2257292632693
BaseRepresentation
bin1010101101100101…
…0010000100010100
321102101211010201011
42223121102010110
521342114002130
61153200342004
7131154420610
oct25331220424
97371733634
102875531540
111246187452
12683014904
1336a98476b
141d3c86340
1511c6a952a
hexab652114

2875531540 has 96 divisors (see below), whose sum is σ = 7169057280. Its totient is φ = 947928576.

The previous prime is 2875531537. The next prime is 2875531567. The reversal of 2875531540 is 451355782.

It is a junction number, because it is equal to n+sod(n) for n = 2875531493 and 2875531502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066434 + ... + 1069126.

It is an arithmetic number, because the mean of its divisors is an integer number (74677680).

Almost surely, 22875531540 is an apocalyptic number.

2875531540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2875531540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584528640).

2875531540 is an abundant number, since it is smaller than the sum of its proper divisors (4293525740).

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

2875531540 is a wasteful number, since it uses less digits than its factorization.

2875531540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 2875531540 is about 53623.9828807969. The cubic root of 2875531540 is about 1422.0211151957.

The spelling of 2875531540 in words is "two billion, eight hundred seventy-five million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 263 290 406 526 580 812 1015 1052 1315 1841 2030 2630 2693 3682 4060 5260 5386 7364 7627 9205 10772 13465 15254 18410 18851 26930 30508 36820 37702 38135 53389 53860 75404 76270 78097 94255 106778 152540 156194 188510 213556 266945 312388 377020 390485 533890 546679 708259 780970 1067780 1093358 1416518 1561940 2186716 2733395 2833036 3541295 4957813 5466790 7082590 9915626 10933580 14165180 19831252 20539511 24789065 41079022 49578130 82158044 99156260 102697555 143776577 205395110 287553154 410790220 575106308 718882885 1437765770 2875531540