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4001420250 = 2355365867
BaseRepresentation
bin1110111010000000…
…1101001111011010
3101022212101012200000
43232200031033122
531143330422000
61501020153430
7201105340152
oct35640151732
911285335600
104001420250
111773774293
12938098876
134b9ccacb9
1429d603762
15186456000
hexee80d3da

4001420250 has 96 divisors (see below), whose sum is σ = 11220745536. Its totient is φ = 1067029200.

The previous prime is 4001420249. The next prime is 4001420303. The reversal of 4001420250 is 520241004.

4001420250 is a `hidden beast` number, since 400 + 14 + 2 + 0 + 250 = 666.

It is a super-2 number, since 2×40014202502 = 32022728034220125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27817 + ... + 93683.

It is an arithmetic number, because the mean of its divisors is an integer number (116882766).

Almost surely, 24001420250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001420250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610372768).

4001420250 is an abundant number, since it is smaller than the sum of its proper divisors (7219325286).

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

4001420250 is an equidigital number, since it uses as much as digits as its factorization.

4001420250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65899 (or 65877 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4001420250 is about 63256.7802689957. The cubic root of 4001420250 is about 1587.5889052654.

Adding to 4001420250 its reverse (520241004), we get a palindrome (4521661254).

The spelling of 4001420250 in words is "four billion, one million, four hundred twenty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 243 250 270 375 405 450 486 675 750 810 1125 1215 1350 2025 2250 2430 3375 4050 6075 6750 10125 12150 20250 30375 60750 65867 131734 197601 329335 395202 592803 658670 988005 1185606 1646675 1778409 1976010 2964015 3293350 3556818 4940025 5335227 5928030 8233375 8892045 9880050 10670454 14820075 16005681 16466750 17784090 24700125 26676135 29640150 32011362 44460225 49400250 53352270 74100375 80028405 88920450 133380675 148200750 160056810 222301125 266761350 400142025 444602250 666903375 800284050 1333806750 2000710125 4001420250