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55437024 = 2531274547
BaseRepresentation
bin1101001101111…
…0011011100000
310212022111022010
43103132123200
5103142441044
65300112520
71242130656
oct323363340
9125274263
1055437024
1129324725
1216695740
13b640096
147510dd6
154d00bb9
hex34de6e0

55437024 has 48 divisors (see below), whose sum is σ = 146700288. Its totient is φ = 18329472.

The previous prime is 55437023. The next prime is 55437037. The reversal of 55437024 is 42073455.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 55436982 and 55437000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55437023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9919 + ... + 14465.

It is an arithmetic number, because the mean of its divisors is an integer number (3056256).

Almost surely, 255437024 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 55437024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73350144).

55437024 is an abundant number, since it is smaller than the sum of its proper divisors (91263264).

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

55437024 is a wasteful number, since it uses less digits than its factorization.

55437024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 55437024 is about 7445.6043408175. The cubic root of 55437024 is about 381.2998514406.

The spelling of 55437024 in words is "fifty-five million, four hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 4547 6096 9094 12192 13641 18188 27282 36376 54564 72752 109128 145504 218256 436512 577469 1154938 1732407 2309876 3464814 4619752 6929628 9239504 13859256 18479008 27718512 55437024