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2052513344 = 26725118253
BaseRepresentation
bin111101001010110…
…1101111001000000
312022001011110222202
41322111231321000
513200420411334
6535400252332
7101602034630
oct17225557100
95261143882
102052513344
11963654722
124934710a8
1326930274b
141568486c0
15c02d717e
hex7a56de40

2052513344 has 56 divisors (see below), whose sum is σ = 4673608128. Its totient is φ = 876096000.

The previous prime is 2052513311. The next prime is 2052513389. The reversal of 2052513344 is 4433152502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×20525133442 = 8425622054596124672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103322 + ... + 121574.

It is an arithmetic number, because the mean of its divisors is an integer number (83457288).

Almost surely, 22052513344 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 2052513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336804064).

2052513344 is an abundant number, since it is smaller than the sum of its proper divisors (2621094784).

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

2052513344 is a wasteful number, since it uses less digits than its factorization.

2052513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18523 (or 18513 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2052513344 is about 45304.6724301148. The cubic root of 2052513344 is about 1270.8530330407.

Adding to 2052513344 its reverse (4433152502), we get a palindrome (6485665846).

The spelling of 2052513344 in words is "two billion, fifty-two million, five hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 251 448 502 1004 1757 2008 3514 4016 7028 8032 14056 16064 18253 28112 36506 56224 73012 112448 127771 146024 255542 292048 511084 584096 1022168 1168192 2044336 4088672 4581503 8177344 9163006 18326012 32070521 36652024 64141042 73304048 128282084 146608096 256564168 293216192 513128336 1026256672 2052513344