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53431840 = 2557114337
BaseRepresentation
bin1100101111010…
…0111000100000
310201112121201001
43023310320200
5102134304330
65145121344
71216106650
oct313647040
9121477631
1053431840
1128185150
1215a89254
13b0ba497
14714c360
154a569ca
hex32f4e20

53431840 has 96 divisors (see below), whose sum is σ = 157417344. Its totient is φ = 16650240.

The previous prime is 53431823. The next prime is 53431849. The reversal of 53431840 is 4813435.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 53431799 and 53431808.

It is not an unprimeable number, because it can be changed into a prime (53431849) 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, 10152 + ... + 14488.

It is an arithmetic number, because the mean of its divisors is an integer number (1639764).

Almost surely, 253431840 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 53431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78708672).

53431840 is an abundant number, since it is smaller than the sum of its proper divisors (103985504).

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

53431840 is a wasteful number, since it uses less digits than its factorization.

53431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 53431840 is about 7309.7086125235. The cubic root of 53431840 is about 376.6460148265.

The spelling of 53431840 in words is "fifty-three million, four hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 4337 6160 8674 12320 17348 21685 30359 34696 43370 47707 60718 69392 86740 95414 121436 138784 151795 173480 190828 238535 242872 303590 333949 346960 381656 477070 485744 607180 667898 693920 763312 954140 971488 1214360 1335796 1526624 1669745 1908280 2428720 2671592 3339490 3816560 4857440 5343184 6678980 7633120 10686368 13357960 26715920 53431840