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2050251520 = 28510115859
BaseRepresentation
bin111101000110100…
…0101101100000000
312021212220120100111
41322031011230000
513144331022040
6535240001104
7101543564452
oct17215055400
95255816314
102050251520
1196234a349
12492760194
132689c00a5
1415641a2d2
15beedbdea
hex7a345b00

2050251520 has 72 divisors (see below), whose sum is σ = 4959929520. Its totient is φ = 811929600.

The previous prime is 2050251517. The next prime is 2050251521. The reversal of 2050251520 is 251520502.

It is a junction number, because it is equal to n+sod(n) for n = 2050251491 and 2050251500.

It is not an unprimeable number, because it can be changed into a prime (2050251521) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 121351 + ... + 137209.

It is an arithmetic number, because the mean of its divisors is an integer number (68887910).

Almost surely, 22050251520 is an apocalyptic number.

2050251520 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 2050251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479964760).

2050251520 is an abundant number, since it is smaller than the sum of its proper divisors (2909678000).

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

2050251520 is a wasteful number, since it uses less digits than its factorization.

2050251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15981 (or 15967 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 2050251520 is about 45279.7031792392. The cubic root of 2050251520 is about 1270.3860442139.

The spelling of 2050251520 in words is "two billion, fifty million, two hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1010 1280 1616 2020 3232 4040 6464 8080 12928 15859 16160 25856 31718 32320 63436 64640 79295 126872 129280 158590 253744 317180 507488 634360 1014976 1268720 1601759 2029952 2537440 3203518 4059904 5074880 6407036 8008795 10149760 12814072 16017590 20299520 25628144 32035180 51256288 64070360 102512576 128140720 205025152 256281440 410050304 512562880 1025125760 2050251520