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48023003040 = 2535307325889
BaseRepresentation
bin101100101110011001…
…001101111110100000
311120221210202022122020
4230232121031332200
51241322342044130
634021135341440
73320024535135
oct545631157640
9146853668566
1048023003040
1119403807a71
129382981880
1346b42ba93c
142477d4258c
1513b1027e10
hexb2e64dfa0

48023003040 has 96 divisors (see below), whose sum is σ = 151765669440. Its totient is φ = 12764381184.

The previous prime is 48023003029. The next prime is 48023003047. The reversal of 48023003040 is 4030032084.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 48023003040.

It is not an unprimeable number, because it can be changed into a prime (48023003047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15585 + ... + 310304.

It is an arithmetic number, because the mean of its divisors is an integer number (1580892390).

Almost surely, 248023003040 is an apocalyptic number.

48023003040 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 48023003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75882834720).

48023003040 is an abundant number, since it is smaller than the sum of its proper divisors (103742666400).

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

48023003040 is a wasteful number, since it uses less digits than its factorization.

48023003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326214 (or 326206 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 48023003040 in words is "forty-eight billion, twenty-three million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 307 480 614 921 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 9824 12280 14736 18420 24560 29472 36840 49120 73680 147360 325889 651778 977667 1303556 1629445 1955334 2607112 3258890 3910668 4888335 5214224 6517780 7821336 9776670 10428448 13035560 15642672 19553340 26071120 31285344 39106680 52142240 78213360 100047923 156426720 200095846 300143769 400191692 500239615 600287538 800383384 1000479230 1200575076 1500718845 1600766768 2000958460 2401150152 3001437690 3201533536 4001916920 4802300304 6002875380 8003833840 9604600608 12005750760 16007667680 24011501520 48023003040