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55799424 = 273248437
BaseRepresentation
bin1101010011011…
…0111010000000
310212222220102100
43110312322000
5103241040144
65311550400
71245200352
oct324667200
9125886370
1055799424
1129551a2a
121682b400
13b739015
1475a70d2
154d73269
hex3536e80

55799424 has 48 divisors (see below), whose sum is σ = 160571970. Its totient is φ = 18599424.

The previous prime is 55799383. The next prime is 55799467. The reversal of 55799424 is 42499755.

55799424 is a `hidden beast` number, since 557 + 9 + 94 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49449024 + 6350400 = 7032^2 + 2520^2 .

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

It is a super-3 number, since 3×557994243 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 55799424.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23067 + ... + 25370.

Almost surely, 255799424 is an apocalyptic number.

It is an amenable number.

55799424 is an abundant number, since it is smaller than the sum of its proper divisors (104772546).

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

55799424 is a wasteful number, since it uses less digits than its factorization.

55799424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48457 (or 48442 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 55799424 is about 7469.9012041660. The cubic root of 55799424 is about 382.1289185954.

The spelling of 55799424 in words is "fifty-five million, seven hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 48437 96874 145311 193748 290622 387496 435933 581244 774992 871866 1162488 1549984 1743732 2324976 3099968 3487464 4649952 6199936 6974928 9299904 13949856 18599808 27899712 55799424