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55927424 = 277237241
BaseRepresentation
bin1101010101011…
…0001010000000
310220020102000002
43111112022000
5103304134144
65314415132
71246242500
oct325261200
9126212002
1055927424
112962a113
12168914a8
13b782367
1475dba00
154d9b14e
hex3556280

55927424 has 96 divisors (see below), whose sum is σ = 133663860. Its totient is φ = 23224320.

The previous prime is 55927409. The next prime is 55927439. The reversal of 55927424 is 42472955.

It is an interprime number because it is at equal distance from previous prime (55927409) and next prime (55927439).

It can be written as a sum of positive squares in 2 ways, for example, as 49000000 + 6927424 = 7000^2 + 2632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231944 + ... + 232184.

Almost surely, 255927424 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 55927424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66831930).

55927424 is an abundant number, since it is smaller than the sum of its proper divisors (77736436).

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

55927424 is a wasteful number, since it uses less digits than its factorization.

55927424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 55927424 is about 7478.4640134188. The cubic root of 55927424 is about 382.4208878491.

The spelling of 55927424 in words is "fifty-five million, nine hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 128 148 196 224 241 259 296 392 448 482 518 592 784 896 964 1036 1184 1568 1687 1813 1928 2072 2368 3136 3374 3626 3856 4144 4736 6272 6748 7252 7712 8288 8917 11809 13496 14504 15424 16576 17834 23618 26992 29008 30848 33152 35668 47236 53984 58016 62419 71336 94472 107968 116032 124838 142672 188944 215936 232064 249676 285344 377888 436933 499352 570688 755776 873866 998704 1141376 1511552 1747732 1997408 3495464 3994816 6990928 7989632 13981856 27963712 55927424