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545948304 = 243118831171
BaseRepresentation
bin100000100010101…
…000001010010000
31102001022001021120
4200202220022100
52104230321204
6130101322240
716346325006
oct4042501220
91361261246
10545948304
112601a0050
12132a06380
1389152245
1452716a76
1532de26d9
hex208a8290

545948304 has 80 divisors (see below), whose sum is σ = 1541639424. Its totient is φ = 165110400.

The previous prime is 545948303. The next prime is 545948311. The reversal of 545948304 is 403849545.

It is a Smith number, since the sum of its digits (42) 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 (545948303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465639 + ... + 466809.

Almost surely, 2545948304 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 545948304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770819712).

545948304 is an abundant number, since it is smaller than the sum of its proper divisors (995691120).

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

545948304 is a wasteful number, since it uses less digits than its factorization.

545948304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 545948304 is about 23365.5366726296. The cubic root of 545948304 is about 817.3044064417.

It can be divided in two parts, 545 and 948304, that added together give a palindrome (948849).

The spelling of 545948304 in words is "five hundred forty-five million, nine hundred forty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 883 1171 1766 2342 2649 3513 3532 4684 5298 7026 7064 9368 9713 10596 12881 14052 14128 18736 19426 21192 25762 28104 29139 38643 38852 42384 51524 56208 58278 77286 77704 103048 116556 154572 155408 206096 233112 309144 466224 618288 1033993 2067986 3101979 4135972 6203958 8271944 11373923 12407916 16543888 22747846 24815832 34121769 45495692 49631664 68243538 90991384 136487076 181982768 272974152 545948304