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545116416 = 2831371769
BaseRepresentation
bin100000011111011…
…101000100000000
31101222201210010220
4200133131010000
52104022211131
6130031423040
716336261455
oct4037350400
91358653126
10545116416
1125a782039
12132684a80
1388c206c0
145257b82c
1532ccae96
hex207dd100

545116416 has 144 divisors (see below), whose sum is σ = 1586471040. Its totient is φ = 165150720.

The previous prime is 545116391. The next prime is 545116417. The reversal of 545116416 is 614611545.

It is not an unprimeable number, because it can be changed into a prime (545116417) by changing a digit.

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, 708480 + ... + 709248.

It is an arithmetic number, because the mean of its divisors is an integer number (11017160).

Almost surely, 2545116416 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 545116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793235520).

545116416 is an abundant number, since it is smaller than the sum of its proper divisors (1041354624).

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

545116416 is a wasteful number, since it uses less digits than its factorization.

545116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 545116416 is about 23347.7282834969. The cubic root of 545116416 is about 816.8890732494.

The spelling of 545116416 in words is "five hundred forty-five million, one hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 128 142 156 192 208 213 256 284 312 384 416 426 568 624 768 769 832 852 923 1136 1248 1538 1664 1704 1846 2272 2307 2496 2769 3076 3328 3408 3692 4544 4614 4992 5538 6152 6816 7384 9088 9228 9984 9997 11076 12304 13632 14768 18176 18456 19994 22152 24608 27264 29536 29991 36912 39988 44304 49216 54528 54599 59072 59982 73824 79976 88608 98432 109198 118144 119964 147648 159952 163797 177216 196864 218396 236288 239928 295296 319904 327594 354432 436792 479856 590592 639808 655188 708864 709787 873584 959712 1279616 1310376 1419574 1747168 1919424 2129361 2559232 2620752 2839148 3494336 3838848 4258722 5241504 5678296 6988672 7677696 8517444 10483008 11356592 13977344 17034888 20966016 22713184 34069776 41932032 45426368 68139552 90852736 136279104 181705472 272558208 545116416