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2903752852 = 22711132331531
BaseRepresentation
bin1010110100010011…
…1100000010010100
321111100220221001221
42231010330002110
521421330042402
61200045300124
7131646330520
oct25504740224
97440827057
102903752852
111260102550
12690564644
13373785c70
141d7910d80
1511edd1337
hexad13c094

2903752852 has 96 divisors (see below), whose sum is σ = 7119673344. Its totient is φ = 998870400.

The previous prime is 2903752849. The next prime is 2903752867. The reversal of 2903752852 is 2582573092.

It is a junction number, because it is equal to n+sod(n) for n = 2903752799 and 2903752808.

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, 76327 + ... + 107857.

It is an arithmetic number, because the mean of its divisors is an integer number (74163264).

Almost surely, 22903752852 is an apocalyptic number.

2903752852 is a gapful number since it is divisible by the number (22) 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 2903752852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559836672).

2903752852 is an abundant number, since it is smaller than the sum of its proper divisors (4215920492).

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

2903752852 is a wasteful number, since it uses less digits than its factorization.

2903752852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31589 (or 31587 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The square root of 2903752852 is about 53886.4811617905. The cubic root of 2903752852 is about 1426.6580232345.

The spelling of 2903752852 in words is "two billion, nine hundred three million, seven hundred fifty-two thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 13 14 22 23 26 28 44 46 52 77 91 92 143 154 161 182 253 286 299 308 322 364 506 572 598 644 1001 1012 1196 1771 2002 2093 3289 3542 4004 4186 6578 7084 8372 13156 23023 31531 46046 63062 92092 126124 220717 346841 409903 441434 693682 725213 819806 882868 1387364 1450426 1639612 2427887 2869321 2900852 4508933 4855774 5076491 5738642 7977343 9017866 9427769 9711548 10152982 11477284 15954686 18035732 18855538 20305964 31562531 31909372 37711076 55841401 63125062 65994383 103705459 111682802 126250124 131988766 207410918 223365604 263977532 414821836 725938213 1451876426 2903752852