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4053070450 = 25211213291777
BaseRepresentation
bin1111000110010100…
…1111001001110010
3101110110120022102101
43301211033021302
531300041223300
61510103211014
7202303346632
oct36145171162
911413508371
104053070450
11179a941900
12951446a6a
134c7913550
142a640a6c2
1518ac59b6a
hexf194f272

4053070450 has 144 divisors (see below), whose sum is σ = 9236674440. Its totient is φ = 1312819200.

The previous prime is 4053070447. The next prime is 4053070471. The reversal of 4053070450 is 540703504.

It can be written as a sum of positive squares in 12 ways, for example, as 20439441 + 4032631009 = 4521^2 + 63503^2 .

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 71 ways as a sum of consecutive naturals, for example, 2279962 + ... + 2281738.

Almost surely, 24053070450 is an apocalyptic number.

4053070450 is an abundant number, since it is smaller than the sum of its proper divisors (5183603990).

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

4053070450 is a wasteful number, since it uses less digits than its factorization.

4053070450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 4053070450 is about 63663.7294697695. The cubic root of 4053070450 is about 1594.3905717730.

Adding to 4053070450 its reverse (540703504), we get a palindrome (4593773954).

The spelling of 4053070450 in words is "four billion, fifty-three million, seventy thousand, four hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 29 50 55 58 65 110 121 130 143 145 242 275 286 290 319 325 377 550 605 638 650 715 725 754 1210 1430 1450 1573 1595 1777 1885 3025 3146 3190 3509 3554 3575 3770 4147 6050 7018 7150 7865 7975 8294 8885 9425 15730 15950 17545 17770 18850 19547 20735 23101 35090 39094 39325 41470 44425 45617 46202 51533 78650 87725 88850 91234 97735 103066 103675 115505 175450 195470 207350 215017 228085 231010 254111 257665 430034 456170 488675 508222 515330 566863 577525 669929 977350 1075085 1133726 1140425 1155050 1270555 1288325 1339858 2150170 2280850 2541110 2576650 2795221 2834315 3349645 5375425 5590442 5668630 6235493 6352775 6699290 7369219 10750850 12470986 12705550 13976105 14171575 14738438 16748225 27952210 28343150 31177465 33496450 36846095 62354930 69880525 73692190 81061409 139761050 155887325 162122818 184230475 311774650 368460950 405307045 810614090 2026535225 4053070450