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53798040 = 23335109457
BaseRepresentation
bin1100110100111…
…0010010011000
310202020020001000
43031032102120
5102233014130
65201025000
71222163412
oct315162230
9122206030
1053798040
112840529a
1216025160
13b1b807a
1472059b2
154aca260
hex334e498

53798040 has 128 divisors (see below), whose sum is σ = 181368000. Its totient is φ = 14183424.

The previous prime is 53798011. The next prime is 53798077. The reversal of 53798040 is 4089735.

53798040 is a `hidden beast` number, since 537 + 9 + 80 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 53797986 and 53798004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117492 + ... + 117948.

Almost surely, 253798040 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 53798040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90684000).

53798040 is an abundant number, since it is smaller than the sum of its proper divisors (127569960).

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

53798040 is a wasteful number, since it uses less digits than its factorization.

53798040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53798040 is about 7334.7147183786. The cubic root of 53798040 is about 377.5045158298.

The spelling of 53798040 in words is "fifty-three million, seven hundred ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 109 120 135 180 216 218 270 327 360 436 457 540 545 654 872 914 981 1080 1090 1308 1371 1635 1828 1962 2180 2285 2616 2742 2943 3270 3656 3924 4113 4360 4570 4905 5484 5886 6540 6855 7848 8226 9140 9810 10968 11772 12339 13080 13710 14715 16452 18280 19620 20565 23544 24678 27420 29430 32904 39240 41130 49356 49813 54840 58860 61695 82260 98712 99626 117720 123390 149439 164520 199252 246780 249065 298878 398504 448317 493560 498130 597756 747195 896634 996260 1195512 1344951 1494390 1793268 1992520 2241585 2689902 2988780 3586536 4483170 5379804 5977560 6724755 8966340 10759608 13449510 17932680 26899020 53798040