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53459900 = 225213174159
BaseRepresentation
bin1100101111101…
…1101110111100
310201121001012022
43023323232330
5102141204100
65145455312
71216254524
oct313735674
9121531168
1053459900
11281a423a
1215aa1538
13b0ca1a0
147158684
154a5ee85
hex32fbbbc

53459900 has 144 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 17817600.

The previous prime is 53459893. The next prime is 53459927. The reversal of 53459900 is 995435.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906071 + ... + 906129.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 253459900 is an apocalyptic number.

53459900 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 53459900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840).

53459900 is an abundant number, since it is smaller than the sum of its proper divisors (84343780).

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

53459900 is a wasteful number, since it uses less digits than its factorization.

53459900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 53459900 is about 7311.6277257530. The cubic root of 53459900 is about 376.7119358058.

The spelling of 53459900 in words is "fifty-three million, four hundred fifty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 41 50 52 59 65 68 82 85 100 118 130 164 170 205 221 236 260 295 325 340 410 425 442 533 590 650 697 767 820 850 884 1003 1025 1066 1105 1180 1300 1394 1475 1534 1700 2006 2050 2132 2210 2419 2665 2788 2950 3068 3485 3835 4012 4100 4420 4838 5015 5330 5525 5900 6970 7670 9061 9676 10030 10660 11050 12095 13039 13325 13940 15340 17425 18122 19175 20060 22100 24190 25075 26078 26650 31447 34850 36244 38350 41123 45305 48380 50150 52156 53300 60475 62894 65195 69700 76700 82246 90610 100300 120950 125788 130390 157235 164492 181220 205615 226525 241900 260780 314470 325975 411230 453050 534599 628940 651950 786175 822460 906100 1028075 1069198 1303900 1572350 2056150 2138396 2672995 3144700 4112300 5345990 10691980 13364975 26729950 53459900