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3005078250 = 235310139671
BaseRepresentation
bin1011001100011101…
…1101101011101010
321202102120210101110
42303013131223222
522123300001000
61214105131150
7134316513036
oct26307355352
97672523343
103005078250
111302319849
126ba489ab6
1338b771b15
142071691c6
15128c48850
hexb31ddaea

3005078250 has 64 divisors (see below), whose sum is σ = 7575130368. Its totient is φ = 793400000.

The previous prime is 3005078243. The next prime is 3005078261. The reversal of 3005078250 is 528705003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 55915 + ... + 95585.

It is an arithmetic number, because the mean of its divisors is an integer number (118361412).

Almost surely, 23005078250 is an apocalyptic number.

3005078250 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 3005078250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787565184).

3005078250 is an abundant number, since it is smaller than the sum of its proper divisors (4570052118).

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

3005078250 is a wasteful number, since it uses less digits than its factorization.

3005078250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39792 (or 39782 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 3005078250 is about 54818.5940169939. The cubic root of 3005078250 is about 1443.0629008782.

The spelling of 3005078250 in words is "three billion, five million, seventy-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 101 125 150 202 250 303 375 505 606 750 1010 1515 2525 3030 5050 7575 12625 15150 25250 37875 39671 75750 79342 119013 198355 238026 396710 595065 991775 1190130 1983550 2975325 4006771 4958875 5950650 8013542 9917750 12020313 14876625 20033855 24040626 29753250 40067710 60101565 100169275 120203130 200338550 300507825 500846375 601015650 1001692750 1502539125 3005078250