Search a number
-
+
4696944 = 243721997
BaseRepresentation
bin10001111010101101110000
322211121222220
4101322231300
52200300234
6244401040
754631500
oct21725560
98747886
104696944
11271897a
1216a6180
13c85b75
148a3a00
1562ba49
hex47ab70

4696944 has 60 divisors (see below), whose sum is σ = 14121864. Its totient is φ = 1341312.

The previous prime is 4696943. The next prime is 4696957. The reversal of 4696944 is 4496964.

4696944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46969442 = 44122565878272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4696896 and 4696905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4696943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354 + ... + 3350.

Almost surely, 24696944 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 4696944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060932).

4696944 is an abundant number, since it is smaller than the sum of its proper divisors (9424920).

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

4696944 is a wasteful number, since it uses less digits than its factorization.

4696944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2009 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 4696944 is about 2167.2434104179. The cubic root of 4696944 is about 167.4705554540.

The spelling of 4696944 in words is "four million, six hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1997 2352 3994 5991 7988 11982 13979 15976 23964 27958 31952 41937 47928 55916 83874 95856 97853 111832 167748 195706 223664 293559 335496 391412 587118 670992 782824 1174236 1565648 2348472 4696944