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2050371072 = 2932449991
BaseRepresentation
bin111101000110110…
…0010111000000000
312021220010122100100
41322031202320000
513144343333242
6535242322400
7101544603141
oct17215427000
95256118310
102050371072
11962421152
124927b9400
13268a32629
1415644bac8
15c001254c
hex7a362e00

2050371072 has 120 divisors (see below), whose sum is σ = 5936673600. Its totient is φ = 681246720.

The previous prime is 2050371049. The next prime is 2050371097. The reversal of 2050371072 is 2701730502.

2050371072 is a `hidden beast` number, since 20 + 503 + 71 + 0 + 72 = 666.

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 11 ways as a sum of consecutive naturals, for example, 2068497 + ... + 2069487.

It is an arithmetic number, because the mean of its divisors is an integer number (49472280).

Almost surely, 22050371072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968336800).

2050371072 is an abundant number, since it is smaller than the sum of its proper divisors (3886302528).

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

2050371072 is an equidigital number, since it uses as much as digits as its factorization.

2050371072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2050371072 is about 45281.0233099916. The cubic root of 2050371072 is about 1270.4107361828.

The spelling of 2050371072 in words is "two billion, fifty million, three hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 449 512 576 768 898 991 1152 1347 1536 1796 1982 2304 2694 2973 3592 3964 4041 4608 5388 5946 7184 7928 8082 8919 10776 11892 14368 15856 16164 17838 21552 23784 28736 31712 32328 35676 43104 47568 57472 63424 64656 71352 86208 95136 114944 126848 129312 142704 172416 190272 229888 253696 258624 285408 344832 380544 444959 507392 517248 570816 689664 761088 889918 1034496 1141632 1334877 1522176 1779836 2068992 2283264 2669754 3559672 4004631 4566528 5339508 7119344 8009262 10679016 14238688 16018524 21358032 28477376 32037048 42716064 56954752 64074096 85432128 113909504 128148192 170864256 227819008 256296384 341728512 512592768 683457024 1025185536 2050371072