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4960926 = 234113271
BaseRepresentation
bin10010111011001010011110
3100100001010000
4102323022132
52232222201
6254155130
760111225
oct22731236
910301100
104960926
112889243
1217b2aa6
131049079
14931cbc
1567ed86
hex4bb29e

4960926 has 40 divisors (see below), whose sum is σ = 11255904. Its totient is φ = 1632960.

The previous prime is 4960913. The next prime is 4960927. The reversal of 4960926 is 6290694.

4960926 = T68 + T69 + ... + T310.

4960926 is a `hidden beast` number, since 49 + 609 + 2 + 6 = 666.

It is a super-2 number, since 2×49609262 = 49221573554952, which contains 22 as substring.

It is a d-powerful number, because it can be written as 4 + 9 + 63 + 0 + 97 + 217 + 66 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960927) 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 19 ways as a sum of consecutive naturals, for example, 18171 + ... + 18441.

Almost surely, 24960926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4960926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627952).

4960926 is an abundant number, since it is smaller than the sum of its proper divisors (6294978).

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

4960926 is a wasteful number, since it uses less digits than its factorization.

4960926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4960926 is about 2227.3136285669. The cubic root of 4960926 is about 170.5509919348.

It can be divided in two parts, 4960 and 926, that added together give a triangular number (5886 = T108).

The spelling of 4960926 in words is "four million, nine hundred sixty thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 271 339 542 678 813 1017 1626 2034 2439 3051 4878 6102 7317 9153 14634 18306 21951 30623 43902 61246 91869 183738 275607 551214 826821 1653642 2480463 4960926