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152002431 = 3276736011
BaseRepresentation
bin10010000111101…
…01111101111111
3101121000112010200
421003311331333
5302403034211
623025534543
73523666530
oct1103657577
9347015120
10152002431
117888a749
1242aa4453
1325650489
141628a687
15d527b56
hex90f5f7f

152002431 has 24 divisors (see below), whose sum is σ = 254676864. Its totient is φ = 85559760.

The previous prime is 152002421. The next prime is 152002441. The reversal of 152002431 is 134200251.

It is an interprime number because it is at equal distance from previous prime (152002421) and next prime (152002441).

It is not a de Polignac number, because 152002431 - 210 = 152001407 is a prime.

It is a super-2 number, since 2×1520024312 = 46209478059819522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152002421) 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 23 ways as a sum of consecutive naturals, for example, 13785 + ... + 22226.

It is an arithmetic number, because the mean of its divisors is an integer number (10611536).

Almost surely, 2152002431 is an apocalyptic number.

152002431 is a deficient number, since it is larger than the sum of its proper divisors (102674433).

152002431 is a wasteful number, since it uses less digits than its factorization.

152002431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36091 (or 36088 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152002431 is about 12328.9265956125. The cubic root of 152002431 is about 533.6831748540.

Adding to 152002431 its reverse (134200251), we get a palindrome (286202682).

The spelling of 152002431 in words is "one hundred fifty-two million, two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 4221 36011 108033 252077 324099 756231 2268693 2412737 7238211 16889159 21714633 50667477 152002431