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53263800 = 233252127233
BaseRepresentation
bin1100101100101…
…1110110111000
310201020002012100
43023023312320
5102113420200
65141343400
71214510022
oct313136670
9121202170
1053263800
112807a977
1215a07b60
13b05bb55
147107012
154a21d00
hex32cbdb8

53263800 has 144 divisors (see below), whose sum is σ = 181059840. Its totient is φ = 14031360.

The previous prime is 53263787. The next prime is 53263813. The reversal of 53263800 is 836235.

It is an interprime number because it is at equal distance from previous prime (53263787) and next prime (53263813).

It is a super-3 number, since 3×532638003 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228484 + ... + 228716.

It is an arithmetic number, because the mean of its divisors is an integer number (1257360).

Almost surely, 253263800 is an apocalyptic number.

53263800 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 53263800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90529920).

53263800 is an abundant number, since it is smaller than the sum of its proper divisors (127796040).

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

53263800 is a wasteful number, since it uses less digits than its factorization.

53263800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53263800 is about 7298.2052588290. The cubic root of 53263800 is about 376.2507569806.

The spelling of 53263800 in words is "fifty-three million, two hundred sixty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 127 150 180 200 225 233 254 300 360 381 450 466 508 600 635 699 762 900 932 1016 1143 1165 1270 1398 1524 1800 1864 1905 2097 2286 2330 2540 2796 3048 3175 3495 3810 4194 4572 4660 5080 5592 5715 5825 6350 6990 7620 8388 9144 9320 9525 10485 11430 11650 12700 13980 15240 16776 17475 19050 20970 22860 23300 25400 27960 28575 29591 34950 38100 41940 45720 46600 52425 57150 59182 69900 76200 83880 88773 104850 114300 118364 139800 147955 177546 209700 228600 236728 266319 295910 355092 419400 443865 532638 591820 710184 739775 887730 1065276 1183640 1331595 1479550 1775460 2130552 2219325 2663190 2959100 3550920 4438650 5326380 5918200 6657975 8877300 10652760 13315950 17754600 26631900 53263800