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5325435440 = 2451331165181
BaseRepresentation
bin1001111010110101…
…11011001000110000
3111202010202011001122
410331122323020300
541401302413230
62240234321412
7245653311563
oct47532731060
914663664048
105325435440
112293084516
121047589268
1366b3c3b40
143873b64da
152127dbbe5
hex13d6bb230

5325435440 has 80 divisors (see below), whose sum is σ = 13764285696. Its totient is φ = 1902873600.

The previous prime is 5325435431. The next prime is 5325435461. The reversal of 5325435440 is 445345235.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5325435440.

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 15 ways as a sum of consecutive naturals, for example, 50351 + ... + 114830.

Almost surely, 25325435440 is an apocalyptic number.

It is an amenable number.

5325435440 is an abundant number, since it is smaller than the sum of its proper divisors (8438850256).

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

5325435440 is a wasteful number, since it uses less digits than its factorization.

5325435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165238 (or 165232 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The square root of 5325435440 is about 72975.5811213587. The cubic root of 5325435440 is about 1746.2980727444.

The spelling of 5325435440 in words is "five billion, three hundred twenty-five million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 6448 8060 16120 32240 165181 330362 660724 825905 1321448 1651810 2147353 2642896 3303620 4294706 5120611 6607240 8589412 10241222 10736765 13214480 17178824 20482444 21473530 25603055 34357648 40964888 42947060 51206110 66567943 81929776 85894120 102412220 133135886 171788240 204824440 266271772 332839715 409648880 532543544 665679430 1065087088 1331358860 2662717720 5325435440