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4062026240 = 2951793337
BaseRepresentation
bin1111001000011101…
…1001101000000000
3101111002102022110022
43302013121220000
531304334314430
61511023153012
7202442440046
oct36207315000
911432368408
104062026240
1117a49a9488
12954445768
134c972aa2c
142a769c396
1518b9284e5
hexf21d9a00

4062026240 has 80 divisors (see below), whose sum is σ = 10312355592. Its totient is φ = 1529217024.

The previous prime is 4062026239. The next prime is 4062026249. The reversal of 4062026240 is 426202604.

It can be written as a sum of positive squares in 4 ways, for example, as 3540726016 + 521300224 = 59504^2 + 22832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4062026249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3149 + ... + 90188.

Almost surely, 24062026240 is an apocalyptic number.

4062026240 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 4062026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156177796).

4062026240 is an abundant number, since it is smaller than the sum of its proper divisors (6250329352).

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

4062026240 is an equidigital number, since it uses as much as digits as its factorization.

4062026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93377 (or 93361 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 4062026240 is about 63734.0273323442. The cubic root of 4062026240 is about 1595.5640461450.

Adding to 4062026240 its reverse (426202604), we get a palindrome (4488228844).

The spelling of 4062026240 in words is "four billion, sixty-two million, twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 4352 5440 8704 10880 21760 43520 93337 186674 373348 466685 746696 933370 1493392 1586729 1866740 2986784 3173458 3733480 5973568 6346916 7466960 7933645 11947136 12693832 14933920 15867290 23894272 25387664 29867840 31734580 47788544 50775328 59735680 63469160 101550656 119471360 126938320 203101312 238942720 253876640 406202624 507753280 812405248 1015506560 2031013120 4062026240