Search a number
-
+
49528476 = 223323127157
BaseRepresentation
bin1011110011101…
…1111010011100
310110012022022000
42330323322130
5100134402401
64525322300
71140661614
oct274737234
9113168260
1049528476
1125a59528
1214706390
13a3518ba
146813a44
154535186
hex2f3be9c

49528476 has 96 divisors (see below), whose sum is σ = 135905280. Its totient is φ = 15567552.

The previous prime is 49528471. The next prime is 49528487. The reversal of 49528476 is 67482594.

It is a happy number.

Its product of digits (483840) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49528471) 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 31 ways as a sum of consecutive naturals, for example, 315390 + ... + 315546.

It is an arithmetic number, because the mean of its divisors is an integer number (1415680).

Almost surely, 249528476 is an apocalyptic number.

49528476 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49528476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67952640).

49528476 is an abundant number, since it is smaller than the sum of its proper divisors (86376804).

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

49528476 is a wasteful number, since it uses less digits than its factorization.

49528476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 49528476 is about 7037.6470499734. The cubic root of 49528476 is about 367.2414174309.

The spelling of 49528476 in words is "forty-nine million, five hundred twenty-eight thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 127 138 157 207 254 276 314 381 414 471 508 621 628 762 828 942 1143 1242 1413 1524 1884 2286 2484 2826 2921 3429 3611 4239 4572 5652 5842 6858 7222 8478 8763 10833 11684 13716 14444 16956 17526 19939 21666 26289 32499 35052 39878 43332 52578 59817 64998 78867 79756 97497 105156 119634 129996 157734 179451 194994 239268 315468 358902 389988 458597 538353 717804 917194 1076706 1375791 1834388 2153412 2751582 4127373 5503164 8254746 12382119 16509492 24764238 49528476