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53854164 = 223271317967
BaseRepresentation
bin1100110101101…
…1111111010100
310202100002000200
43031123333110
5102241313124
65202140500
71222516140
oct315337724
9122302020
1053854164
1128443481
1216051730
13b207790
14721c220
154adbbc9
hex335bfd4

53854164 has 144 divisors (see below), whose sum is σ = 177585408. Its totient is φ = 13353984.

The previous prime is 53854127. The next prime is 53854183. The reversal of 53854164 is 46145835.

It is a happy number.

53854164 is a `hidden beast` number, since 53 + 8 + 541 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 55209 + ... + 56175.

It is an arithmetic number, because the mean of its divisors is an integer number (1233232).

Almost surely, 253854164 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 53854164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88792704).

53854164 is an abundant number, since it is smaller than the sum of its proper divisors (123731244).

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

53854164 is a wasteful number, since it uses less digits than its factorization.

53854164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1009 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 53854164 is about 7338.5396367397. The cubic root of 53854164 is about 377.6357455178.

Adding to 53854164 its reverse (46145835), we get a palindrome (99999999).

The spelling of 53854164 in words is "fifty-three million, eight hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 546 612 663 714 819 884 967 1071 1092 1326 1428 1547 1638 1934 1989 2142 2652 2901 3094 3276 3868 3978 4284 4641 5802 6188 6769 7956 8703 9282 11604 12571 13538 13923 16439 17406 18564 20307 25142 27076 27846 32878 34812 37713 40614 49317 50284 55692 60921 65756 75426 81228 87997 98634 113139 115073 121842 147951 150852 175994 197268 213707 226278 230146 243684 263991 295902 345219 351988 427414 452556 460292 527982 591804 641121 690438 791973 854828 1035657 1055964 1282242 1380876 1495949 1583946 1923363 2071314 2564484 2991898 3167892 3846726 4142628 4487847 5983796 7693452 8975694 13463541 17951388 26927082 53854164