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48469444000 = 2553594
BaseRepresentation
bin101101001001000000…
…010000010110100000
311122002220210212111121
4231021000100112200
51243231134202000
634133324222024
73334055322235
oct551100202640
9148086725447
1048469444000
111961281273a
12948839a914
13475593c6a3
1424bb35578c
1513da311b1a
hexb490105a0

48469444000 has 120 divisors (see below), whose sum is σ = 121142689668. Its totient is φ = 19059171200.

The previous prime is 48469443991. The next prime is 48469444003. The reversal of 48469444000 is 44496484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 32765344144 + 15704099856 = 181012^2 + 125316^2 .

It is not an unprimeable number, because it can be changed into a prime (48469444003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 821515971 + ... + 821516029.

Almost surely, 248469444000 is an apocalyptic number.

48469444000 is a gapful number since it is divisible by the number (40) 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 48469444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60571344834).

48469444000 is an abundant number, since it is smaller than the sum of its proper divisors (72673245668).

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

48469444000 is an frugal number, since it uses more digits than its factorization.

48469444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 48469444000 in words is "forty-eight billion, four hundred sixty-nine million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 125 160 200 236 250 295 400 472 500 590 800 944 1000 1180 1475 1888 2000 2360 2950 3481 4000 4720 5900 6962 7375 9440 11800 13924 14750 17405 23600 27848 29500 34810 47200 55696 59000 69620 87025 111392 118000 139240 174050 205379 236000 278480 348100 410758 435125 556960 696200 821516 870250 1026895 1392400 1643032 1740500 2053790 2784800 3286064 3481000 4107580 5134475 6572128 6962000 8215160 10268950 12117361 13924000 16430320 20537900 24234722 25672375 32860640 41075800 48469444 51344750 60586805 82151600 96938888 102689500 121173610 164303200 193877776 205379000 242347220 302934025 387755552 410758000 484694440 605868050 821516000 969388880 1211736100 1514670125 1938777760 2423472200 3029340250 4846944400 6058680500 9693888800 12117361000 24234722000 48469444000