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53562420 = 223252931331
BaseRepresentation
bin1100110001010…
…0110000110100
310201210020211100
43030110300310
5102202444140
65152010100
71220162442
oct314246064
9121706740
1053562420
112826426a
1215b30930
13b134a52
147183b92
154a80530
hex3314c34

53562420 has 144 divisors (see below), whose sum is σ = 174021120. Its totient is φ = 13305600.

The previous prime is 53562419. The next prime is 53562493. The reversal of 53562420 is 2426535.

53562420 is a `hidden beast` number, since 5 + 35 + 624 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161655 + ... + 161985.

It is an arithmetic number, because the mean of its divisors is an integer number (1208480).

Almost surely, 253562420 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 53562420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87010560).

53562420 is an abundant number, since it is smaller than the sum of its proper divisors (120458700).

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

53562420 is a wasteful number, since it uses less digits than its factorization.

53562420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53562420 is about 7318.6351186543. The cubic root of 53562420 is about 376.9525887464.

Adding to 53562420 its reverse (2426535), we get a palindrome (55988955).

It can be divided in two parts, 5356 and 2420, that added together give a 5-th power (7776 = 65).

The spelling of 53562420 in words is "fifty-three million, five hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 31 36 45 58 60 62 87 90 93 116 124 145 155 174 180 186 261 279 290 310 331 348 372 435 465 522 558 580 620 662 870 899 930 993 1044 1116 1305 1324 1395 1655 1740 1798 1860 1986 2610 2697 2790 2979 3310 3596 3972 4495 4965 5220 5394 5580 5958 6620 8091 8990 9599 9930 10261 10788 11916 13485 14895 16182 17980 19198 19860 20522 26970 28797 29790 30783 32364 38396 40455 41044 47995 51305 53940 57594 59580 61566 80910 86391 92349 95990 102610 115188 123132 143985 153915 161820 172782 184698 191980 205220 287970 297569 307830 345564 369396 431955 461745 575940 595138 615660 863910 892707 923490 1190276 1487845 1727820 1785414 1846980 2678121 2975690 3570828 4463535 5356242 5951380 8927070 10712484 13390605 17854140 26781210 53562420