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4946472 = 23322329103
BaseRepresentation
bin10010110111101000101000
3100022022021200
4102313220220
52231241342
6254004200
760021126
oct22675050
910268250
104946472
1128793a3
1217a6660
13104260b
1492a916
1567a94c
hex4b7a28

4946472 has 96 divisors (see below), whose sum is σ = 14601600. Its totient is φ = 1507968.

The previous prime is 4946471. The next prime is 4946477. The reversal of 4946472 is 2746494.

4946472 is a `hidden beast` number, since 4 + 9 + 4 + 647 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4946471) by changing a digit.

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, 47973 + ... + 48075.

It is an arithmetic number, because the mean of its divisors is an integer number (152100).

Almost surely, 24946472 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 4946472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300800).

4946472 is an abundant number, since it is smaller than the sum of its proper divisors (9655128).

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

4946472 is a wasteful number, since it uses less digits than its factorization.

4946472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

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

The square root of 4946472 is about 2224.0665457670. The cubic root of 4946472 is about 170.3851934499.

The spelling of 4946472 in words is "four million, nine hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 36 46 58 69 72 87 92 103 116 138 174 184 206 207 232 261 276 309 348 412 414 522 552 618 667 696 824 828 927 1044 1236 1334 1656 1854 2001 2088 2369 2472 2668 2987 3708 4002 4738 5336 5974 6003 7107 7416 8004 8961 9476 11948 12006 14214 16008 17922 18952 21321 23896 24012 26883 28428 35844 42642 48024 53766 56856 68701 71688 85284 107532 137402 170568 206103 215064 274804 412206 549608 618309 824412 1236618 1648824 2473236 4946472