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545471136 = 25327238653
BaseRepresentation
bin100000100000110…
…011101010100000
31102000101210201200
4200200303222200
52104120034021
6130043201200
716342266600
oct4040635240
91360353650
10545471136
1125a9a45a1
12132816200
1389015cb2
1452630c00
1532d4b126
hex20833aa0

545471136 has 108 divisors (see below), whose sum is σ = 1804484682. Its totient is φ = 155844864.

The previous prime is 545471099. The next prime is 545471137. The reversal of 545471136 is 631174545.

545471136 is a `hidden beast` number, since 5 + 454 + 71 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 533610000 + 11861136 = 23100^2 + 3444^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 545471136.

It is not an unprimeable number, because it can be changed into a prime (545471137) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5215 + ... + 33438.

Almost surely, 2545471136 is an apocalyptic number.

545471136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545471136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902242341).

545471136 is an abundant number, since it is smaller than the sum of its proper divisors (1259013546).

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

545471136 is a wasteful number, since it uses less digits than its factorization.

545471136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38683 (or 38665 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 545471136 is about 23355.3235045032. The cubic root of 545471136 is about 817.0662244374.

The spelling of 545471136 in words is "five hundred forty-five million, four hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 38653 77306 115959 154612 231918 270571 309224 347877 463836 541142 618448 695754 811713 927672 1082284 1236896 1391508 1623426 1855344 1893997 2164568 2435139 2783016 3246852 3710688 3787994 4329136 4870278 5566032 5681991 6493704 7575988 8658272 9740556 11132064 11363982 12987408 15151976 17045973 19481112 22727964 25974816 30303952 34091946 38962224 45455928 60607904 68183892 77924448 90911856 136367784 181823712 272735568 545471136