Search a number
-
+
4726956 = 22313157193
BaseRepresentation
bin10010000010000010101100
322220011011110
4102002002230
52202230311
6245152020
755115133
oct22020254
98804143
104726956
112739483
1216bb610
13c96720
148b091a
156358a6
hex4820ac

4726956 has 48 divisors (see below), whose sum is σ = 12015584. Its totient is φ = 1437696.

The previous prime is 4726927. The next prime is 4726957. The reversal of 4726956 is 6596274.

It is a super-2 number, since 2×47269562 = 44688226051872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4726957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24396 + ... + 24588.

Almost surely, 24726956 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 4726956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007792).

4726956 is an abundant number, since it is smaller than the sum of its proper divisors (7288628).

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

4726956 is a wasteful number, since it uses less digits than its factorization.

4726956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 4726956 is about 2174.1563881193. The cubic root of 4726956 is about 167.8264932032.

The spelling of 4726956 in words is "four million, seven hundred twenty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 193 314 386 471 579 628 772 942 1158 1884 2041 2316 2509 4082 5018 6123 7527 8164 10036 12246 15054 24492 30108 30301 60602 90903 121204 181806 363612 393913 787826 1181739 1575652 2363478 4726956