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55042008 = 23374161131
BaseRepresentation
bin1101000111110…
…1111111011000
310211120102102220
43101331333120
5103042321013
65243424040
71235564220
oct321757730
9124512386
1055042008
112908496a
1216525020
13b532348
14744b080
154c73b23
hex347dfd8

55042008 has 128 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 14976000.

The previous prime is 55041991. The next prime is 55042027. The reversal of 55042008 is 80024055.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420103 + ... + 420233.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 255042008 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 55042008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

55042008 is an abundant number, since it is smaller than the sum of its proper divisors (109947432).

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

55042008 is a wasteful number, since it uses less digits than its factorization.

55042008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 55042008 is about 7419.0301252927. The cubic root of 55042008 is about 380.3920423014.

The spelling of 55042008 in words is "fifty-five million, forty-two thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 61 82 84 122 123 131 164 168 183 244 246 262 287 328 366 393 427 488 492 524 574 732 786 854 861 917 984 1048 1148 1281 1464 1572 1708 1722 1834 2296 2501 2562 2751 3144 3416 3444 3668 5002 5124 5371 5502 6888 7336 7503 7991 10004 10248 10742 11004 15006 15982 16113 17507 20008 21484 22008 23973 30012 31964 32226 35014 37597 42968 47946 52521 55937 60024 63928 64452 70028 75194 95892 105042 111874 112791 128904 140056 150388 167811 191784 210084 223748 225582 300776 327631 335622 420168 447496 451164 655262 671244 902328 982893 1310524 1342488 1965786 2293417 2621048 3931572 4586834 6880251 7863144 9173668 13760502 18347336 27521004 55042008