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5325435000 = 233254118343
BaseRepresentation
bin1001111010110101…
…11011000001111000
3111202010202010110100
410331122323001320
541401302410000
62240234315400
7245653310364
oct47532730170
914663663410
105325435000
112293084156
121047588b60
1366b3c3892
143873b62a4
152127dba00
hex13d6bb078

5325435000 has 120 divisors (see below), whose sum is σ = 18023199480. Its totient is φ = 1420104000.

The previous prime is 5325434987. The next prime is 5325435001. The reversal of 5325435000 is 5345235.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5325435001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14172 + ... + 104171.

It is an arithmetic number, because the mean of its divisors is an integer number (150193329).

Almost surely, 25325435000 is an apocalyptic number.

5325435000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5325435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011599740).

5325435000 is an abundant number, since it is smaller than the sum of its proper divisors (12697764480).

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

5325435000 is a wasteful number, since it uses less digits than its factorization.

5325435000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118375 (or 118353 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 5325435000 is about 72975.5781066515. The cubic root of 5325435000 is about 1746.2980246499.

The spelling of 5325435000 in words is "five billion, three hundred twenty-five million, four hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 118343 236686 355029 473372 591715 710058 946744 1065087 1183430 1420116 1775145 2130174 2366860 2840232 2958575 3550290 4260348 4733720 5325435 5917150 7100580 8520696 8875725 10650870 11834300 14201160 14792875 17751450 21301740 23668600 26627175 29585750 35502900 42603480 44378625 53254350 59171500 71005800 73964375 88757250 106508700 118343000 133135875 147928750 177514500 213017400 221893125 266271750 295857500 355029000 443786250 532543500 591715000 665679375 887572500 1065087000 1331358750 1775145000 2662717500 5325435000