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53499840 = 2635232423
BaseRepresentation
bin1100110000010…
…1011111000000
310201200001222120
43030011133000
5102143443330
65150404240
71216512132
oct314053700
9121601876
1053499840
1128221249
1215b00680
13b112414
147169052
154a6bc10
hex33057c0

53499840 has 112 divisors (see below), whose sum is σ = 177320448. Its totient is φ = 13640704.

The previous prime is 53499739. The next prime is 53499841. The reversal of 53499840 is 4899435.

It is a junction number, because it is equal to n+sod(n) for n = 53499792 and 53499801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53499841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20869 + ... + 23291.

Almost surely, 253499840 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 53499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88660224).

53499840 is an abundant number, since it is smaller than the sum of its proper divisors (123820608).

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

53499840 is a wasteful number, since it uses less digits than its factorization.

53499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 53499840 is about 7314.3584817809. The cubic root of 53499840 is about 376.8057265370.

The spelling of 53499840 in words is "fifty-three million, four hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2423 2760 3680 4416 4846 5520 7269 7360 9692 11040 12115 14538 19384 22080 24230 29076 36345 38768 48460 55729 58152 72690 77536 96920 111458 116304 145380 155072 167187 193840 222916 232608 278645 290760 334374 387680 445832 465216 557290 581520 668748 775360 835935 891664 1114580 1163040 1337496 1671870 1783328 2229160 2326080 2674992 3343740 3566656 4458320 5349984 6687480 8916640 10699968 13374960 17833280 26749920 53499840