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53117400 = 23352712647
BaseRepresentation
bin1100101010100…
…0000111011000
310200221122101010
43022220013120
5102044224100
65134253520
71213330140
oct312500730
9120848333
1053117400
1127a8a986
12159572a0
13b00a31b
1470a9920
1549e3750
hex32a81d8

53117400 has 96 divisors (see below), whose sum is σ = 188202240. Its totient is φ = 12140160.

The previous prime is 53117387. The next prime is 53117411. The reversal of 53117400 is 471135.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2124 + ... + 10523.

It is an arithmetic number, because the mean of its divisors is an integer number (1960440).

Almost surely, 253117400 is an apocalyptic number.

53117400 is a gapful number since it is divisible by the number (50) 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 53117400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94101120).

53117400 is an abundant number, since it is smaller than the sum of its proper divisors (135084840).

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

53117400 is a wasteful number, since it uses less digits than its factorization.

53117400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12673 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 53117400 is about 7288.1684942103. The cubic root of 53117400 is about 375.9057217980.

Adding to 53117400 its reverse (471135), we get a palindrome (53588535).

The spelling of 53117400 in words is "fifty-three million, one hundred seventeen thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 12647 25294 37941 50588 63235 75882 88529 101176 126470 151764 177058 189705 252940 265587 303528 316175 354116 379410 442645 505880 531174 632350 708232 758820 885290 948525 1062348 1264700 1327935 1517640 1770580 1897050 2124696 2213225 2529400 2655870 3541160 3794100 4426450 5311740 6639675 7588200 8852900 10623480 13279350 17705800 26558700 53117400