Search a number
-
+
48044408000 = 265359101789
BaseRepresentation
bin101100101111101010…
…110111110011000000
311121000022000210201112
4230233222313303000
51241343332024000
634023222222452
73320404505231
oct545752676300
9147008023645
1048044408000
11194148a7916
129389b84a28
1346b88736b4
14247ab15088
1513b2d55235
hexb2fab7cc0

48044408000 has 112 divisors (see below), whose sum is σ = 120999808800. Its totient is φ = 18891852800.

The previous prime is 48044407991. The next prime is 48044408023. The reversal of 48044408000 is 80444084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 421106 + ... + 522894.

Almost surely, 248044408000 is an apocalyptic number.

48044408000 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 48044408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60499904400).

48044408000 is an abundant number, since it is smaller than the sum of its proper divisors (72955400800).

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

48044408000 is a wasteful number, since it uses less digits than its factorization.

48044408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101875 (or 101855 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 48044408000 in words is "forty-eight billion, forty-four million, four hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 160 200 236 250 295 320 400 472 500 590 800 944 1000 1180 1475 1600 1888 2000 2360 2950 3776 4000 4720 5900 7375 8000 9440 11800 14750 18880 23600 29500 47200 59000 94400 101789 118000 203578 236000 407156 472000 508945 814312 1017890 1628624 2035780 2544725 3257248 4071560 5089450 6005551 6514496 8143120 10178900 12011102 12723625 16286240 20357800 24022204 25447250 30027755 32572480 40715600 48044408 50894500 60055510 81431200 96088816 101789000 120111020 150138775 162862400 192177632 203578000 240222040 300277550 384355264 407156000 480444080 600555100 750693875 814312000 960888160 1201110200 1501387750 1921776320 2402220400 3002775500 4804440800 6005551000 9608881600 12011102000 24022204000 48044408000