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52349400 = 233252127229
BaseRepresentation
bin1100011110110…
…0100111011000
310122111121212200
43013230213120
5101400140100
65110010200
71203651105
oct307544730
9118447780
1052349400
1127605974
1215646960
13aacb89c
146d49aac
1548e0e00
hex31ec9d8

52349400 has 144 divisors (see below), whose sum is σ = 177964800. Its totient is φ = 13789440.

The previous prime is 52349393. The next prime is 52349419. The reversal of 52349400 is 494325.

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, 228486 + ... + 228714.

Almost surely, 252349400 is an apocalyptic number.

52349400 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 52349400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88982400).

52349400 is an abundant number, since it is smaller than the sum of its proper divisors (125615400).

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

52349400 is a wasteful number, since it uses less digits than its factorization.

52349400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

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

The square root of 52349400 is about 7235.2885222360. The cubic root of 52349400 is about 374.0852370377.

The spelling of 52349400 in words is "fifty-two million, three hundred forty-nine thousand, four 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 90 100 120 127 150 180 200 225 229 254 300 360 381 450 458 508 600 635 687 762 900 916 1016 1143 1145 1270 1374 1524 1800 1832 1905 2061 2286 2290 2540 2748 3048 3175 3435 3810 4122 4572 4580 5080 5496 5715 5725 6350 6870 7620 8244 9144 9160 9525 10305 11430 11450 12700 13740 15240 16488 17175 19050 20610 22860 22900 25400 27480 28575 29083 34350 38100 41220 45720 45800 51525 57150 58166 68700 76200 82440 87249 103050 114300 116332 137400 145415 174498 206100 228600 232664 261747 290830 348996 412200 436245 523494 581660 697992 727075 872490 1046988 1163320 1308735 1454150 1744980 2093976 2181225 2617470 2908300 3489960 4362450 5234940 5816600 6543675 8724900 10469880 13087350 17449800 26174700 52349400