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545296896 = 2932176961
BaseRepresentation
bin100000100000001…
…001001000000000
31102000001221201100
4200200021020000
52104044000041
6130035334400
716340642604
oct4040111000
91360057640
10545296896
1125a8956a1
12132751400
1388c848b1
14525c7504
1532d146b6
hex20809200

545296896 has 120 divisors (see below), whose sum is σ = 1666577484. Its totient is φ = 171048960.

The previous prime is 545296891. The next prime is 545296919. The reversal of 545296896 is 698692545.

It is a happy number.

545296896 is a `hidden beast` number, since 54 + 529 + 68 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 498182400 + 47114496 = 22320^2 + 6864^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (545296891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74856 + ... + 81816.

Almost surely, 2545296896 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 545296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833288742).

545296896 is an abundant number, since it is smaller than the sum of its proper divisors (1121280588).

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

545296896 is a wasteful number, since it uses less digits than its factorization.

545296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7002 (or 6983 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 545296896 is about 23351.5930077586. The cubic root of 545296896 is about 816.9792166070.

It can be divided in two parts, 54529 and 6896, that added together give a triangular number (61425 = T350).

The spelling of 545296896 in words is "five hundred forty-five million, two hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 6961 8704 9792 13056 13922 19584 20883 26112 27844 39168 41766 55688 62649 78336 83532 111376 118337 125298 167064 222752 236674 250596 334128 355011 445504 473348 501192 668256 710022 891008 946696 1002384 1065033 1336512 1420044 1782016 1893392 2004768 2130066 2673024 2840088 3564032 3786784 4009536 4260132 5346048 5680176 7573568 8019072 8520264 10692096 11360352 15147136 16038144 17040528 22720704 30294272 32076288 34081056 45441408 60588544 68162112 90882816 136324224 181765632 272648448 545296896