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55901790 = 2325789997
BaseRepresentation
bin1101010100111…
…1111001011110
310220012002211200
43111033321132
5103302324130
65314100330
71246104660
oct325177136
9126162750
1055901790
112961192a
121687a6a6
13b7737a9
1475d2530
154d93760
hex354fe5e

55901790 has 96 divisors (see below), whose sum is σ = 168143040. Its totient is φ = 12621312.

The previous prime is 55901719. The next prime is 55901801. The reversal of 55901790 is 9710955.

It is a happy number.

55901790 is a `hidden beast` number, since 559 + 0 + 17 + 90 = 666.

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 47 ways as a sum of consecutive naturals, for example, 55572 + ... + 56568.

It is an arithmetic number, because the mean of its divisors is an integer number (1751490).

Almost surely, 255901790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55901790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84071520).

55901790 is an abundant number, since it is smaller than the sum of its proper divisors (112241250).

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

55901790 is a wasteful number, since it uses less digits than its factorization.

55901790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 55901790 is about 7476.7499623834. The cubic root of 55901790 is about 382.3624521454.

The spelling of 55901790 in words is "fifty-five million, nine hundred one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 89 90 105 126 178 210 267 315 445 534 623 630 801 890 997 1246 1335 1602 1869 1994 2670 2991 3115 3738 4005 4985 5607 5982 6230 6979 8010 8973 9345 9970 11214 13958 14955 17946 18690 20937 28035 29910 34895 41874 44865 56070 62811 69790 88733 89730 104685 125622 177466 209370 266199 314055 443665 532398 621131 628110 798597 887330 1242262 1330995 1597194 1863393 2661990 3105655 3726786 3992985 5590179 6211310 7985970 9316965 11180358 18633930 27950895 55901790