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2038030050 = 235272416763
BaseRepresentation
bin111100101111001…
…1101111011100010
312021000220122122110
41321132131323202
513133213430200
6534122020150
7101334653400
oct17136357342
95230818573
102038030050
11956462161
1248a647656
13266301354
14154958470
15bddc5b50
hex7979dee2

2038030050 has 144 divisors (see below), whose sum is σ = 6023801952. Its totient is φ = 454406400.

The previous prime is 2038030037. The next prime is 2038030051. The reversal of 2038030050 is 500308302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2038029999 and 2038030026.

It is not an unprimeable number, because it can be changed into a prime (2038030051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 297969 + ... + 304731.

It is an arithmetic number, because the mean of its divisors is an integer number (41831958).

Almost surely, 22038030050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038030050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011900976).

2038030050 is an abundant number, since it is smaller than the sum of its proper divisors (3985771902).

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

2038030050 is a wasteful number, since it uses less digits than its factorization.

2038030050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2038030050 is about 45144.5461822356. The cubic root of 2038030050 is about 1267.8567712150.

Adding to 2038030050 its reverse (500308302), we get a palindrome (2538338352).

The spelling of 2038030050 in words is "two billion, thirty-eight million, thirty thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 49 50 70 75 82 98 105 123 147 150 175 205 210 245 246 287 294 350 410 490 525 574 615 735 861 1025 1050 1225 1230 1435 1470 1722 2009 2050 2450 2870 3075 3675 4018 4305 6027 6150 6763 7175 7350 8610 10045 12054 13526 14350 20090 20289 21525 30135 33815 40578 43050 47341 50225 60270 67630 94682 100450 101445 142023 150675 169075 202890 236705 277283 284046 301350 331387 338150 473410 507225 554566 662774 710115 831849 994161 1014450 1183525 1386415 1420230 1656935 1663698 1940981 1988322 2367050 2772830 3313870 3550575 3881962 4159245 4970805 5822943 6932075 7101150 8284675 8318490 9704905 9941610 11645886 13586867 13864150 16569350 19409810 20796225 24854025 27173734 29114715 40760601 41592450 48524525 49708050 58229430 67934335 81521202 97049050 135868670 145573575 203803005 291147150 339671675 407606010 679343350 1019015025 2038030050