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55835136 = 29337577
BaseRepresentation
bin1101010011111…
…1101000000000
310220001201102000
43110333220000
5103243211021
65312424000
71245406440
oct324775000
9126051360
1055835136
1129576845
1216848000
13b74c356
1475b6120
154d7db26
hex353fa00

55835136 has 160 divisors (see below), whose sum is σ = 189214080. Its totient is φ = 15925248.

The previous prime is 55835111. The next prime is 55835147. The reversal of 55835136 is 63153855.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55835136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96480 + ... + 97056.

It is an arithmetic number, because the mean of its divisors is an integer number (1182588).

Almost surely, 255835136 is an apocalyptic number.

55835136 is a gapful number since it is divisible by the number (56) 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 55835136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94607040).

55835136 is an abundant number, since it is smaller than the sum of its proper divisors (133378944).

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

55835136 is an equidigital number, since it uses as much as digits as its factorization.

55835136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 589 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 55835136 is about 7472.2912148818. The cubic root of 55835136 is about 382.2104228876.

The spelling of 55835136 in words is "fifty-five million, eight hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 577 672 756 768 864 896 1008 1152 1154 1344 1512 1536 1728 1731 1792 2016 2304 2308 2688 3024 3456 3462 3584 4032 4039 4608 4616 5193 5376 6048 6912 6924 8064 8078 9232 10386 10752 12096 12117 13824 13848 15579 16128 16156 18464 20772 24192 24234 27696 31158 32256 32312 36351 36928 41544 48384 48468 55392 62316 64624 72702 73856 83088 96768 96936 109053 110784 124632 129248 145404 147712 166176 193872 218106 221568 249264 258496 290808 295424 332352 387744 436212 443136 498528 516992 581616 664704 775488 872424 886272 997056 1033984 1163232 1329408 1550976 1744848 1994112 2067968 2326464 2658816 3101952 3489696 3988224 4652928 6203904 6979392 7976448 9305856 13958784 18611712 27917568 55835136