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4961964 = 2237193109
BaseRepresentation
bin10010111011011010101100
3100100002112110
4102323122230
52232240324
6254204020
760114240
oct22733254
910302473
104961964
112889aa7
1217b3610
131049697
14932420
15680329
hex4bb6ac

4961964 has 48 divisors (see below), whose sum is σ = 13932800. Its totient is φ = 1342656.

The previous prime is 4961963. The next prime is 4961969. The reversal of 4961964 is 4691694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4961963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42 + ... + 3150.

Almost surely, 24961964 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 4961964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966400).

4961964 is an abundant number, since it is smaller than the sum of its proper divisors (8970836).

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

4961964 is a wasteful number, since it uses less digits than its factorization.

4961964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3140 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 4961964 is about 2227.5466325085. The cubic root of 4961964 is about 170.5628861916.

The spelling of 4961964 in words is "four million, nine hundred sixty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 3109 6218 9327 12436 18654 21763 37308 43526 59071 65289 87052 118142 130578 177213 236284 261156 354426 413497 708852 826994 1240491 1653988 2480982 4961964