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2051426432 = 27116312309
BaseRepresentation
bin111101001000110…
…0100100010000000
312021222010021000202
41322101210202000
513200131121212
6535321104332
7101556560036
oct17221444200
95258107022
102051426432
11962a82050
124930280a8
13269011ac3
14156644556
15c01700c2
hex7a464880

2051426432 has 64 divisors (see below), whose sum is σ = 4467355200. Its totient is φ = 930585600.

The previous prime is 2051426411. The next prime is 2051426459. The reversal of 2051426432 is 2346241502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2051426395 and 2051426404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 887294 + ... + 889602.

It is an arithmetic number, because the mean of its divisors is an integer number (69802425).

Almost surely, 22051426432 is an apocalyptic number.

2051426432 is a gapful number since it is divisible by the number (22) 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 2051426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233677600).

2051426432 is an abundant number, since it is smaller than the sum of its proper divisors (2415928768).

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

2051426432 is a wasteful number, since it uses less digits than its factorization.

2051426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2051426432 is about 45292.6752577059. The cubic root of 2051426432 is about 1270.6286659557.

Adding to 2051426432 its reverse (2346241502), we get a palindrome (4397667934).

The spelling of 2051426432 in words is "two billion, fifty-one million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 631 704 1262 1408 2309 2524 4618 5048 6941 9236 10096 13882 18472 20192 25399 27764 36944 40384 50798 55528 73888 80768 101596 111056 147776 203192 222112 295552 406384 444224 812768 888448 1456979 1625536 2913958 3251072 5827916 11655832 16026769 23311664 32053538 46623328 64107076 93246656 128214152 186493312 256428304 512856608 1025713216 2051426432