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55838454 = 23719167419
BaseRepresentation
bin1101010100000…
…0011011110110
310220001212221220
43111000123312
5103243312304
65312451210
71245422220
oct325003366
9126055856
1055838454
1129579291
1216849b06
13b750a09
1475b7410
154d7ead9
hex35406f6

55838454 has 64 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 14987808.

The previous prime is 55838443. The next prime is 55838459. The reversal of 55838454 is 45483855.

55838454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×558384542 = 6235865890220232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55838459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133057 + ... + 133475.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 255838454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55838454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

55838454 is an abundant number, since it is smaller than the sum of its proper divisors (79636746).

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

55838454 is a wasteful number, since it uses less digits than its factorization.

55838454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its digits is 384000, while the sum is 42.

The square root of 55838454 is about 7472.5132318384. The cubic root of 55838454 is about 382.2179936823.

The spelling of 55838454 in words is "fifty-five million, eight hundred thirty-eight thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 167 266 334 399 419 501 798 838 1002 1169 1257 2338 2514 2933 3173 3507 5866 6346 7014 7961 8799 9519 15922 17598 19038 22211 23883 44422 47766 55727 66633 69973 111454 133266 139946 167181 209919 334362 419838 489811 979622 1329487 1469433 2658974 2938866 3988461 7976922 9306409 18612818 27919227 55838454