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55035000 = 2332541223
BaseRepresentation
bin1101000111110…
…0010001111000
310211120001211100
43101330101320
5103042110000
65243331400
71235534616
oct321742170
9124501740
1055035000
112907a679
1216520b60
13b52c0b7
1474486b6
154c71a00
hex347c478

55035000 has 120 divisors (see below), whose sum is σ = 186409080. Its totient is φ = 14664000.

The previous prime is 55034999. The next prime is 55035047. The reversal of 55035000 is 53055.

55035000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44389 + ... + 45611.

It is an arithmetic number, because the mean of its divisors is an integer number (1553409).

Almost surely, 255035000 is an apocalyptic number.

55035000 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 55035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93204540).

55035000 is an abundant number, since it is smaller than the sum of its proper divisors (131374080).

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

55035000 is a wasteful number, since it uses less digits than its factorization.

55035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 55035000 is about 7418.5578113269. The cubic root of 55035000 is about 380.3758976592.

Adding to 55035000 its reverse (53055), we get a palindrome (55088055).

The spelling of 55035000 in words is "fifty-five million, 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 1223 1250 1500 1800 1875 2250 2446 2500 3000 3669 3750 4500 4892 5000 5625 6115 7338 7500 9000 9784 11007 11250 12230 14676 15000 18345 22014 22500 24460 29352 30575 36690 44028 45000 48920 55035 61150 73380 88056 91725 110070 122300 146760 152875 183450 220140 244600 275175 305750 366900 440280 458625 550350 611500 733800 764375 917250 1100700 1223000 1375875 1528750 1834500 2201400 2293125 2751750 3057500 3669000 4586250 5503500 6115000 6879375 9172500 11007000 13758750 18345000 27517500 55035000