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545117472 = 25336110343
BaseRepresentation
bin100000011111011…
…101010100100000
31101222201211121000
4200133131110200
52104022224342
6130031432000
716336264524
oct4037352440
91358654530
10545117472
1125a782909
12132685600
1388c21023
145257bd84
1532ccb44c
hex207dd520

545117472 has 96 divisors (see below), whose sum is σ = 1616146560. Its totient is φ = 178709760.

The previous prime is 545117413. The next prime is 545117473. The reversal of 545117472 is 274711545.

545117472 is a `hidden beast` number, since 5 + 4 + 511 + 74 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545117473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47533 + ... + 57875.

It is an arithmetic number, because the mean of its divisors is an integer number (16834860).

Almost surely, 2545117472 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 545117472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808073280).

545117472 is an abundant number, since it is smaller than the sum of its proper divisors (1071029088).

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

545117472 is a wasteful number, since it uses less digits than its factorization.

545117472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423 (or 10409 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 545117472 is about 23347.7508981058. The cubic root of 545117472 is about 816.8896007418.

The spelling of 545117472 in words is "five hundred forty-five million, one hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2928 3294 4392 5856 6588 8784 10343 13176 17568 20686 26352 31029 41372 52704 62058 82744 93087 124116 165488 186174 248232 279261 330976 372348 496464 558522 630923 744696 992928 1117044 1261846 1489392 1892769 2234088 2523692 2978784 3785538 4468176 5047384 5678307 7571076 8936352 10094768 11356614 15142152 17034921 20189536 22713228 30284304 34069842 45426456 60568608 68139684 90852912 136279368 181705824 272558736 545117472