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4945941 = 347111361
BaseRepresentation
bin10010110111100000010101
3100022021120000
4102313200111
52231232231
6254001513
760016440
oct22674025
910267500
104945941
112878a60
1217a6299
1310422c0
1492a657
1567a6e6
hex4b7815

4945941 has 80 divisors (see below), whose sum is σ = 10082688. Its totient is φ = 2332800.

The previous prime is 4945939. The next prime is 4945961. The reversal of 4945941 is 1495494.

It is a happy number.

It is not a de Polignac number, because 4945941 - 21 = 4945939 is a prime.

4945941 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4945896 and 4945905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4945961) 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 79 ways as a sum of consecutive naturals, for example, 81051 + ... + 81111.

Almost surely, 24945941 is an apocalyptic number.

It is an amenable number.

4945941 is an abundant number, since it is smaller than the sum of its proper divisors (5136747).

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

4945941 is a wasteful number, since it uses less digits than its factorization.

4945941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4945941 is about 2223.9471666386. The cubic root of 4945941 is about 170.3790963249.

It can be divided in two parts, 4945 and 941, that added together give a triangular number (5886 = T108).

The spelling of 4945941 in words is "four million, nine hundred forty-five thousand, nine hundred forty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 61 63 77 81 91 99 117 143 183 189 231 273 297 351 427 429 549 567 671 693 793 819 891 1001 1053 1281 1287 1647 2013 2079 2379 2457 3003 3843 3861 4697 4941 5551 6039 6237 7137 7371 8723 9009 11529 11583 14091 16653 18117 21411 26169 27027 34587 42273 49959 54351 61061 64233 78507 81081 126819 149877 183183 235521 380457 449631 549549 706563 1648647 4945941