Search a number
-
+
4942476 = 22327111783
BaseRepresentation
bin10010110110101010001100
3100022002210200
4102312222030
52231124401
6253533500
760003360
oct22665214
910262720
104942476
1128763a0
1217a4290
131040856
149292a0
15679686
hex4b6a8c

4942476 has 72 divisors (see below), whose sum is σ = 15585024. Its totient is φ = 1283040.

The previous prime is 4942411. The next prime is 4942501. The reversal of 4942476 is 6742494.

It is a super-3 number, since 3×49424763 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4942476.

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 23 ways as a sum of consecutive naturals, for example, 1881 + ... + 3663.

Almost surely, 24942476 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 4942476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7792512).

4942476 is an abundant number, since it is smaller than the sum of its proper divisors (10642548).

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

4942476 is a wasteful number, since it uses less digits than its factorization.

4942476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1806 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4942476 is about 2223.1680098454. The cubic root of 4942476 is about 170.3392992814.

The spelling of 4942476 in words is "four million, nine hundred forty-two thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1783 2772 3566 5349 7132 10698 12481 16047 19613 21396 24962 32094 37443 39226 49924 58839 64188 74886 78452 112329 117678 137291 149772 176517 224658 235356 274582 353034 411873 449316 549164 706068 823746 1235619 1647492 2471238 4942476