Search a number
-
+
48966937425 = 3352771145963
BaseRepresentation
bin101101100110101010…
…000010101101010001
311200101120221011012000
4231212222002231101
51300241013444200
634254535224213
73352306046340
oct554652025521
9150346834160
1048966937425
111984861792a
1295a6b18069
134804a278b3
142527457b57
151418d32300
hexb66a82b51

48966937425 has 96 divisors (see below), whose sum is σ = 104253327360. Its totient is φ = 22069454400.

The previous prime is 48966937423. The next prime is 48966937483. The reversal of 48966937425 is 52473966984.

48966937425 is a `hidden beast` number, since 489 + 6 + 69 + 3 + 74 + 25 = 666.

It is not a de Polignac number, because 48966937425 - 21 = 48966937423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48966937421) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 262494 + ... + 408456.

It is an arithmetic number, because the mean of its divisors is an integer number (1085972160).

Almost surely, 248966937425 is an apocalyptic number.

48966937425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48966937425 is an abundant number, since it is smaller than the sum of its proper divisors (55286389935).

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

48966937425 is a wasteful number, since it uses less digits than its factorization.

48966937425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146060 (or 146049 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 48966937425 in words is "forty-eight billion, nine hundred sixty-six million, nine hundred thirty-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 71 75 105 135 175 189 213 225 315 355 497 525 639 675 945 1065 1491 1575 1775 1917 2485 3195 4473 4725 5325 7455 9585 12425 13419 15975 22365 37275 47925 67095 111825 145963 335475 437889 729815 1021741 1313667 2189445 3065223 3649075 3941001 5108705 6568335 9195669 10363373 10947225 15326115 19705005 25543525 27587007 31090119 32841675 45978345 51816865 72543611 76630575 93270357 98525025 137935035 155450595 217630833 229891725 259084325 279811071 362718055 466351785 652892499 689675175 777252975 1088154165 1399055355 1813590275 1958677497 2331758925 3264462495 5440770825 6995276775 9793387485 16322312475 48966937425