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5044576000 = 2853198297
BaseRepresentation
bin1001011001010111…
…00001111100000000
3111000120021000100011
410230223201330000
540312402413000
62152322434304
7236003121442
oct45453417400
914016230304
105044576000
112159593682
12b89502994
13625168219
1435bd86492
151e7d0e2ba
hex12cae1f00

5044576000 has 144 divisors (see below), whose sum is σ = 13229667360. Its totient is φ = 1911398400.

The previous prime is 5044575983. The next prime is 5044576037. The reversal of 5044576000 is 6754405.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603852 + ... + 612148.

It is an arithmetic number, because the mean of its divisors is an integer number (91872690).

Almost surely, 25044576000 is an apocalyptic number.

5044576000 is a gapful number since it is divisible by the number (50) 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 5044576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614833680).

5044576000 is an abundant number, since it is smaller than the sum of its proper divisors (8185091360).

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

5044576000 is an equidigital number, since it uses as much as digits as its factorization.

5044576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8347 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 5044576000 is about 71025.1786340591. The cubic root of 5044576000 is about 1715.0425124114.

The spelling of 5044576000 in words is "five billion, forty-four million, five hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 256 304 320 380 400 475 500 608 640 760 800 950 1000 1216 1280 1520 1600 1900 2000 2375 2432 3040 3200 3800 4000 4750 4864 6080 6400 7600 8000 8297 9500 12160 15200 16000 16594 19000 24320 30400 32000 33188 38000 41485 60800 66376 76000 82970 121600 132752 152000 157643 165940 207425 265504 304000 315286 331880 414850 531008 608000 630572 663760 788215 829700 1037125 1062016 1261144 1327520 1576430 1659400 2074250 2124032 2522288 2655040 3152860 3318800 3941075 4148500 5044576 5310080 6305720 6637600 7882150 8297000 10089152 10620160 12611440 13275200 15764300 16594000 19705375 20178304 25222880 26550400 31528600 33188000 39410750 40356608 50445760 53100800 63057200 66376000 78821500 100891520 126114400 132752000 157643000 201783040 252228800 265504000 315286000 504457600 630572000 1008915200 1261144000 2522288000 5044576000