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3008380050 = 2325213717243
BaseRepresentation
bin1011001101010000…
…0011110010010010
321202122210112121100
42303110003302102
522130121130200
61214304005230
7134356544214
oct26324036222
97678715540
103008380050
111304174505
126bb600816
1338c359950
142077885b4
1512919bd00
hexb3503c92

3008380050 has 144 divisors (see below), whose sum is σ = 8828059968. Its totient is φ = 729993600.

The previous prime is 3008380033. The next prime is 3008380051. The reversal of 3008380050 is 500838003.

It is a junction number, because it is equal to n+sod(n) for n = 3008379996 and 3008380023.

It is not an unprimeable number, because it can be changed into a prime (3008380051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 411729 + ... + 418971.

It is an arithmetic number, because the mean of its divisors is an integer number (61305972).

Almost surely, 23008380050 is an apocalyptic number.

3008380050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3008380050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414029984).

3008380050 is an abundant number, since it is smaller than the sum of its proper divisors (5819679918).

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

3008380050 is a wasteful number, since it uses less digits than its factorization.

3008380050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3008380050 is about 54848.7014431518. The cubic root of 3008380050 is about 1443.5912244576.

The spelling of 3008380050 in words is "three billion, eight million, three hundred eighty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 71 75 78 90 117 130 142 150 195 213 225 234 325 355 390 426 450 585 639 650 710 923 975 1065 1170 1278 1775 1846 1950 2130 2769 2925 3195 3550 4615 5325 5538 5850 6390 7243 8307 9230 10650 13845 14486 15975 16614 21729 23075 27690 31950 36215 41535 43458 46150 65187 69225 72430 83070 94159 108645 130374 138450 181075 188318 207675 217290 282477 325935 362150 415350 470795 514253 543225 564954 651870 847431 941590 1028506 1086450 1412385 1542759 1629675 1694862 2353975 2571265 2824770 3085518 3259350 4237155 4628277 4707950 5142530 6685289 7061925 7713795 8474310 9256554 12856325 13370578 14123850 15427590 20055867 21185775 23141385 25712650 33426445 38568975 40111734 42371550 46282770 60167601 66852890 77137950 100279335 115706925 120335202 167132225 200558670 231413850 300838005 334264450 501396675 601676010 1002793350 1504190025 3008380050