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49476 = 22371931
BaseRepresentation
bin1100000101000100
32111212110
430011010
53040401
61021020
7264150
oct140504
974773
1049476
1134199
1224770
131969b
1414060
15e9d6
hexc144

49476 has 48 divisors (see below), whose sum is σ = 143360. Its totient is φ = 12960.

The previous prime is 49463. The next prime is 49477. The reversal of 49476 is 67494.

It is a super-3 number, since 3×494763 = 363333127566528, which contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49477) by changing a digit.

49476 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1581 + ... + 1611.

249476 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 49476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71680).

49476 is an abundant number, since it is smaller than the sum of its proper divisors (93884).

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

49476 is a wasteful number, since it uses less digits than its factorization.

49476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 49476 is about 222.4320120846. The cubic root of 49476 is about 36.7111672738.

It can be divided in two parts, 49 and 476, that added together give a palindrome (525).

The spelling of 49476 in words is "forty-nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 266 372 399 434 532 589 651 798 868 1178 1302 1596 1767 2356 2604 3534 4123 7068 8246 12369 16492 24738 49476