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2041852480 = 26519418191
BaseRepresentation
bin111100110110100…
…0011001001000000
312021022002212000221
41321231003021000
513140203234410
6534335552424
7101412313453
oct17155031100
95238085027
102041852480
11958632a98
1248b98b714
1326703c145
1415527149a
15be3cd4da
hex79b43240

2041852480 has 112 divisors (see below), whose sum is σ = 5243535360. Its totient is φ = 754790400.

The previous prime is 2041852433. The next prime is 2041852487. The reversal of 2041852480 is 842581402.

It is not an unprimeable number, because it can be changed into a prime (2041852487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 245185 + ... + 253375.

It is an arithmetic number, because the mean of its divisors is an integer number (46817280).

Almost surely, 22041852480 is an apocalyptic number.

2041852480 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 2041852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621767680).

2041852480 is an abundant number, since it is smaller than the sum of its proper divisors (3201682880).

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

2041852480 is a wasteful number, since it uses less digits than its factorization.

2041852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8258 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 2041852480 is about 45186.8618073882. The cubic root of 2041852480 is about 1268.6489196734.

The spelling of 2041852480 in words is "two billion, forty-one million, eight hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 152 160 164 190 205 304 320 328 380 410 608 656 760 779 820 1216 1312 1520 1558 1640 2624 3040 3116 3280 3895 6080 6232 6560 7790 8191 12464 13120 15580 16382 24928 31160 32764 40955 49856 62320 65528 81910 124640 131056 155629 163820 249280 262112 311258 327640 335831 524224 622516 655280 671662 778145 1245032 1310560 1343324 1556290 1679155 2490064 2621120 2686648 3112580 3358310 4980128 5373296 6225160 6380789 6716620 9960256 10746592 12450320 12761578 13433240 21493184 24900640 25523156 26866480 31903945 49801280 51046312 53732960 63807890 102092624 107465920 127615780 204185248 255231560 408370496 510463120 1020926240 2041852480