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5342252409 = 321325921009
BaseRepresentation
bin1001111100110110…
…00100110101111001
3111210022101112121100
410332123010311321
541420104034114
62242035002013
7246246252624
oct47633046571
914708345540
105342252409
1122a162033a
121051139309
13671a31500
14389712dbb
1521400e909
hex13e6c4d79

5342252409 has 54 divisors (see below), whose sum is σ = 8508279390. Its totient is φ = 3228615936.

The previous prime is 5342252393. The next prime is 5342252417. The reversal of 5342252409 is 9042522435.

It can be written as a sum of positive squares in 3 ways, for example, as 50126400 + 5292126009 = 7080^2 + 72747^2 .

It is not a de Polignac number, because 5342252409 - 24 = 5342252393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5342252459) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 5294097 + ... + 5295105.

Almost surely, 25342252409 is an apocalyptic number.

5342252409 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

5342252409 is a deficient number, since it is larger than the sum of its proper divisors (3166026981).

5342252409 is a wasteful number, since it uses less digits than its factorization.

5342252409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5342252409 is about 73090.7135619841. The cubic root of 5342252409 is about 1748.1343283437.

The spelling of 5342252409 in words is "five billion, three hundred forty-two million, two hundred fifty-two thousand, four hundred nine".

Divisors: 1 3 9 13 39 59 117 169 177 507 531 767 1009 1521 2301 3027 3481 6903 9081 9971 10443 13117 29913 31329 39351 45253 59531 89739 118053 135759 170521 178593 407277 511563 535779 588289 773903 1534689 1764867 2321709 3512329 5294601 6965127 10060739 10536987 30182217 31610961 45660277 90546651 136980831 410942493 593583601 1780750803 5342252409