Search a number
-
+
2053862000 = 24531954049
BaseRepresentation
bin111101001101011…
…0111001001110000
312022010200222222222
41322122313021300
513201242041000
6535445220212
7101616352601
oct17232671160
95263628888
102053862000
11964395a13
12493a01668
13269685578
14156ab9da8
15c04a1a85
hex7a6b7270

2053862000 has 80 divisors (see below), whose sum is σ = 5227716000. Its totient is φ = 778291200.

The previous prime is 2053861993. The next prime is 2053862011. The reversal of 2053862000 is 2683502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10976 + ... + 65024.

It is an arithmetic number, because the mean of its divisors is an integer number (65346450).

Almost surely, 22053862000 is an apocalyptic number.

2053862000 is a gapful number since it is divisible by the number (20) 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 2053862000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613858000).

2053862000 is an abundant number, since it is smaller than the sum of its proper divisors (3173854000).

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

2053862000 is a wasteful number, since it uses less digits than its factorization.

2053862000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54091 (or 54075 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2053862000 is about 45319.5542784790. The cubic root of 2053862000 is about 1271.1313208471.

The spelling of 2053862000 in words is "two billion, fifty-three million, eight hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 54049 108098 216196 270245 432392 540490 864784 1026931 1080980 1351225 2053862 2161960 2702450 4107724 4323920 5134655 5404900 6756125 8215448 10269310 10809800 13512250 16430896 20538620 21619600 25673275 27024500 41077240 51346550 54049000 82154480 102693100 108098000 128366375 205386200 256732750 410772400 513465500 1026931000 2053862000