Search a number
-
+
4955742 = 23711103
BaseRepresentation
bin10010111001111001011110
3100022210000000
4102321321132
52232040432
6254115130
760060141
oct22717136
910283000
104955742
112885360
1217abaa6
1310468bc
14930058
1567d57c
hex4b9e5e

4955742 has 64 divisors (see below), whose sum is σ = 12280320. Its totient is φ = 1487160.

The previous prime is 4955737. The next prime is 4955747. The reversal of 4955742 is 2475594.

It is an interprime number because it is at equal distance from previous prime (4955737) and next prime (4955747).

It is a d-powerful number, because it can be written as 4 + 97 + 57 + 57 + 7 + 47 + 27 .

It is a junction number, because it is equal to n+sod(n) for n = 4955697 and 4955706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4955747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48063 + ... + 48165.

It is an arithmetic number, because the mean of its divisors is an integer number (191880).

Almost surely, 24955742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4955742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140160).

4955742 is an abundant number, since it is smaller than the sum of its proper divisors (7324578).

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

4955742 is a wasteful number, since it uses less digits than its factorization.

4955742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 4955742 is about 2226.1495906610. The cubic root of 4955742 is about 170.4915645560.

The spelling of 4955742 in words is "four million, nine hundred fifty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 103 162 198 206 243 297 309 486 594 618 729 891 927 1133 1458 1782 1854 2187 2266 2673 2781 3399 4374 5346 5562 6798 8019 8343 10197 16038 16686 20394 24057 25029 30591 48114 50058 61182 75087 91773 150174 183546 225261 275319 450522 550638 825957 1651914 2477871 4955742