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55919370 = 235131271129
BaseRepresentation
bin1101010101010…
…0001100001010
310220012222221210
43111110030022
5103303404440
65314313550
71246210143
oct325241412
9126188853
1055919370
1129624061
12168888b6
13b77b7b0
1475d8aca
154d98a80
hex355430a

55919370 has 64 divisors (see below), whose sum is σ = 145797120. Its totient is φ = 13644288.

The previous prime is 55919363. The next prime is 55919401. The reversal of 55919370 is 7391955.

55919370 = 20682 + 20692 + ... + 20802.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48966 + ... + 50094.

It is an arithmetic number, because the mean of its divisors is an integer number (2278080).

Almost surely, 255919370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55919370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72898560).

55919370 is an abundant number, since it is smaller than the sum of its proper divisors (89877750).

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

55919370 is a wasteful number, since it uses less digits than its factorization.

55919370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279.

The product of its (nonzero) digits is 42525, while the sum is 39.

The square root of 55919370 is about 7477.9255144726. The cubic root of 55919370 is about 382.4025297374.

The spelling of 55919370 in words is "fifty-five million, nine hundred nineteen thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 127 130 195 254 381 390 635 762 1129 1270 1651 1905 2258 3302 3387 3810 4953 5645 6774 8255 9906 11290 14677 16510 16935 24765 29354 33870 44031 49530 73385 88062 143383 146770 220155 286766 430149 440310 716915 860298 1433830 1863979 2150745 3727958 4301490 5591937 9319895 11183874 18639790 27959685 55919370