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55633816 = 2372347409
BaseRepresentation
bin1101010000111…
…0011110011000
310212200111020201
43110032132120
5103220240231
65304231544
71243610500
oct324163630
9125614221
1055633816
1129449567
121676b5b4
13b6ab824
147562a00
154d3e161
hex350e798

55633816 has 48 divisors (see below), whose sum is σ = 121991400. Its totient is φ = 23716224.

The previous prime is 55633807. The next prime is 55633847. The reversal of 55633816 is 61833655.

55633816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 135820 + ... + 136228.

Almost surely, 255633816 is an apocalyptic number.

55633816 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 55633816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60995700).

55633816 is an abundant number, since it is smaller than the sum of its proper divisors (66357584).

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

55633816 is a wasteful number, since it uses less digits than its factorization.

55633816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 55633816 is about 7458.8079476549. The cubic root of 55633816 is about 381.7505018087.

The spelling of 55633816 in words is "fifty-five million, six hundred thirty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 347 392 409 694 818 1388 1636 2429 2776 2863 3272 4858 5726 9716 11452 17003 19432 20041 22904 34006 40082 68012 80164 136024 141923 160328 283846 567692 993461 1135384 1986922 3973844 6954227 7947688 13908454 27816908 55633816