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53046840 = 23357115741
BaseRepresentation
bin1100101001011…
…0111000111000
310200211001120210
43022112320320
5102034444330
65132551120
71212614340
oct312267070
9120731523
1053046840
1127a41970
12159224a0
13acb4182
14708bd20
1549cc8b0
hex3296e38

53046840 has 128 divisors (see below), whose sum is σ = 198443520. Its totient is φ = 11020800.

The previous prime is 53046827. The next prime is 53046853. The reversal of 53046840 is 4864035.

53046840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53046827) and next prime (53046853).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 53046798 and 53046807.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6370 + ... + 12110.

It is an arithmetic number, because the mean of its divisors is an integer number (1550340).

Almost surely, 253046840 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 53046840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99221760).

53046840 is an abundant number, since it is smaller than the sum of its proper divisors (145396680).

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

53046840 is a wasteful number, since it uses less digits than its factorization.

53046840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 53046840 is about 7283.3261632306. The cubic root of 53046840 is about 375.7391997105.

The spelling of 53046840 in words is "fifty-three million, forty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 5741 9240 11482 17223 22964 28705 34446 40187 45928 57410 63151 68892 80374 86115 114820 120561 126302 137784 160748 172230 189453 200935 229640 241122 252604 315755 321496 344460 378906 401870 442057 482244 505208 602805 631510 688920 757812 803740 884114 947265 964488 1205610 1263020 1326171 1515624 1607480 1768228 1894530 2210285 2411220 2526040 2652342 3536456 3789060 4420570 4822440 5304684 6630855 7578120 8841140 10609368 13261710 17682280 26523420 53046840