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53483976 = 2334713907
BaseRepresentation
bin1100110000000…
…1100111001000
310201122021020000
43030001213020
5102142441401
65150203000
71216414650
oct314014710
9121567200
1053483976
1128210337
1215ab3460
13b108130
147163360
154a67186
hex33019c8

53483976 has 160 divisors (see below), whose sum is σ = 184578240. Its totient is φ = 14090112.

The previous prime is 53483971. The next prime is 53483977. The reversal of 53483976 is 67938435.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (544320) is a multiple of the sum of its prime factors (945).

It is not an unprimeable number, because it can be changed into a prime (53483971) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58515 + ... + 59421.

It is an arithmetic number, because the mean of its divisors is an integer number (1153614).

Almost surely, 253483976 is an apocalyptic number.

53483976 is a gapful number since it is divisible by the number (56) 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 53483976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92289120).

53483976 is an abundant number, since it is smaller than the sum of its proper divisors (131094264).

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

53483976 is a wasteful number, since it uses less digits than its factorization.

53483976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 932 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 53483976 is about 7313.2739590419. The cubic root of 53483976 is about 376.7684788432.

The spelling of 53483976 in words is "fifty-three million, four hundred eighty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 907 936 1053 1092 1134 1404 1512 1638 1814 2106 2184 2268 2457 2721 2808 3276 3628 4212 4536 4914 5442 6349 6552 7256 7371 8163 8424 9828 10884 11791 12698 14742 16326 19047 19656 21768 23582 24489 25396 29484 32652 35373 38094 47164 48978 50792 57141 58968 65304 70746 73467 76188 82537 94328 97956 106119 114282 141492 146934 152376 165074 171423 195912 212238 228564 247611 282984 293868 318357 330148 342846 424476 457128 495222 514269 587736 636714 660296 685692 742833 848952 955071 990444 1028538 1273428 1371384 1485666 1910142 1980888 2057076 2228499 2546856 2971332 3820284 4114152 4456998 5942664 6685497 7640568 8913996 13370994 17827992 26741988 53483976