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2051970048 = 21032534201
BaseRepresentation
bin111101001001110…
…1001010000000000
312022000010212201200
41322103221100000
513200301020143
6535340501200
7101564312652
oct17223512000
95260125650
102051970048
11963313517
1249324a800
1326917237b
141567466d2
15c022b1d3
hex7a4e9400

2051970048 has 132 divisors (see below), whose sum is σ = 6038248788. Its totient is φ = 670924800.

The previous prime is 2051970029. The next prime is 2051970049. The reversal of 2051970048 is 8400791502.

It can be written as a sum of positive squares in 2 ways, for example, as 707134464 + 1344835584 = 26592^2 + 36672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2051969994 and 2051970021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051970049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486348 + ... + 490548.

It is an arithmetic number, because the mean of its divisors is an integer number (45744309).

Almost surely, 22051970048 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 2051970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019124394).

2051970048 is an abundant number, since it is smaller than the sum of its proper divisors (3986278740).

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

2051970048 is a wasteful number, since it uses less digits than its factorization.

2051970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2051970048 is about 45298.6760071418. The cubic root of 2051970048 is about 1270.7408924302.

The spelling of 2051970048 in words is "two billion, fifty-one million, nine hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1024 1152 1272 1536 1696 1908 2304 2544 3072 3392 3816 4201 4608 5088 6784 7632 8402 9216 10176 12603 13568 15264 16804 20352 25206 27136 30528 33608 37809 40704 50412 54272 61056 67216 75618 81408 100824 122112 134432 151236 162816 201648 222653 244224 268864 302472 403296 445306 488448 537728 604944 667959 806592 890612 1075456 1209888 1335918 1613184 1781224 2003877 2150912 2419776 2671836 3226368 3562448 4007754 4301824 4839552 5343672 6452736 7124896 8015508 9679104 10687344 12905472 14249792 16031016 19358208 21374688 28499584 32062032 38716416 42749376 56999168 64124064 85498752 113998336 128248128 170997504 227996672 256496256 341995008 512992512 683990016 1025985024 2051970048