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53870544 = 24327134111
BaseRepresentation
bin1100110101111…
…1111111010000
310202100220111100
43031133333100
5102242324134
65202344400
71222614660
oct315377720
9122326440
1053870544
1128454812
121605b100
13b212080
1472241a0
154ae1999
hex335ffd0

53870544 has 120 divisors (see below), whose sum is σ = 185599232. Its totient is φ = 14204160.

The previous prime is 53870533. The next prime is 53870549. The reversal of 53870544 is 44507835.

53870544 is a `hidden beast` number, since 538 + 70 + 54 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 53870499 and 53870508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53870549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11049 + ... + 15159.

Almost surely, 253870544 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 53870544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92799616).

53870544 is an abundant number, since it is smaller than the sum of its proper divisors (131728688).

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

53870544 is a wasteful number, since it uses less digits than its factorization.

53870544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 53870544 is about 7339.6555777502. The cubic root of 53870544 is about 377.6740282059.

The spelling of 53870544 in words is "fifty-three million, eight hundred seventy thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4111 4368 6552 8222 12333 13104 16444 24666 28777 32888 36999 49332 53443 57554 65776 73998 86331 98664 106886 115108 147996 160329 172662 197328 213772 230216 258993 295992 320658 345324 374101 427544 460432 480987 517986 591984 641316 690648 748202 855088 961974 1035972 1122303 1282632 1381296 1496404 1923948 2071944 2244606 2565264 2992808 3366909 3847896 4143888 4489212 5985616 6733818 7695792 8978424 13467636 17956848 26935272 53870544