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153438350 = 25213594001
BaseRepresentation
bin10010010010101…
…00100010001110
3101200201110211212
421021110202032
5303240011400
623120414422
73542130062
oct1111244216
9350643755
10153438350
117968055a
1243477412
1325a33c30
1416541aa2
15d70d335
hex925488e

153438350 has 48 divisors (see below), whose sum is σ = 312636240. Its totient is φ = 55680000.

The previous prime is 153438349. The next prime is 153438419. The reversal of 153438350 is 53834351.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36350 + ... + 40350.

It is an arithmetic number, because the mean of its divisors is an integer number (6513255).

Almost surely, 2153438350 is an apocalyptic number.

153438350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153438350 is an abundant number, since it is smaller than the sum of its proper divisors (159197890).

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

153438350 is a wasteful number, since it uses less digits than its factorization.

153438350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 153438350 is about 12387.0234519839. The cubic root of 153438350 is about 535.3584228777.

It can be divided in two parts, 1534 and 38350, that multiplied together give a square (58828900 = 76702).

The spelling of 153438350 in words is "one hundred fifty-three million, four hundred thirty-eight thousand, three hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 59 65 118 130 295 325 590 650 767 1475 1534 2950 3835 4001 7670 8002 19175 20005 38350 40010 52013 100025 104026 200050 236059 260065 472118 520130 1180295 1300325 2360590 2600650 3068767 5901475 6137534 11802950 15343835 30687670 76719175 153438350