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540845616 = 24317976833
BaseRepresentation
bin100000001111001…
…010011000110000
31101200200210201010
4200033022120300
52101424024431
6125400110520
716255053243
oct4017123060
91350623633
10540845616
11258325353
12131165440
13880867bc
1451b8925a
1532735846
hex203ca630

540845616 has 80 divisors (see below), whose sum is σ = 1494841824. Its totient is φ = 167903232.

The previous prime is 540845603. The next prime is 540845639. The reversal of 540845616 is 616548045.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 75736 + ... + 82568.

Almost surely, 2540845616 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 540845616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747420912).

540845616 is an abundant number, since it is smaller than the sum of its proper divisors (953996208).

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

540845616 is a wasteful number, since it uses less digits than its factorization.

540845616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 540845616 is about 23256.0877191328. The cubic root of 540845616 is about 814.7501290280.

The spelling of 540845616 in words is "five hundred forty million, eight hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 97 102 136 194 204 272 291 388 408 582 776 816 1164 1552 1649 2328 3298 4656 4947 6596 6833 9894 13192 13666 19788 20499 26384 27332 39576 40998 54664 79152 81996 109328 116161 163992 232322 327984 348483 464644 662801 696966 929288 1325602 1393932 1858576 1988403 2651204 2787864 3976806 5302408 5575728 7953612 10604816 11267617 15907224 22535234 31814448 33802851 45070468 67605702 90140936 135211404 180281872 270422808 540845616