Search a number
-
+
55153000 = 235377879
BaseRepresentation
bin1101001001100…
…1000101101000
310211210001200201
43102121011220
5103104344000
65250041544
71236535630
oct322310550
9124701621
1055153000
11291502a1
12165792b4
13b570a16
1474796c0
154c9696a
hex3499168

55153000 has 64 divisors (see below), whose sum is σ = 147513600. Its totient is φ = 18907200.

The previous prime is 55152989. The next prime is 55153009. The reversal of 55153000 is 35155.

It is not an unprimeable number, because it can be changed into a prime (55153009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3061 + ... + 10939.

It is an arithmetic number, because the mean of its divisors is an integer number (2304900).

Almost surely, 255153000 is an apocalyptic number.

55153000 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 55153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73756800).

55153000 is an abundant number, since it is smaller than the sum of its proper divisors (92360600).

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

55153000 is a wasteful number, since it uses less digits than its factorization.

55153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7907 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 55153000 is about 7426.5065811591. The cubic root of 55153000 is about 380.6475569995.

Adding to 55153000 its reverse (35155), we get a palindrome (55188155).

It can be divided in two parts, 5515 and 3000, that added together give a triangular number (8515 = T130).

The spelling of 55153000 in words is "fifty-five million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 7879 15758 31516 39395 55153 63032 78790 110306 157580 196975 220612 275765 315160 393950 441224 551530 787900 984875 1103060 1378825 1575800 1969750 2206120 2757650 3939500 5515300 6894125 7879000 11030600 13788250 27576500 55153000