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4620042 = 232737991
BaseRepresentation
bin10001100111111100001010
322200201111200
4101213330022
52140320132
6243005030
754161340
oct21477412
98621450
104620042
112676119
121669776
13c59b6b
14883990
15613d7c
hex467f0a

4620042 has 48 divisors (see below), whose sum is σ = 11761152. Its totient is φ = 1283040.

The previous prime is 4620037. The next prime is 4620061. The reversal of 4620042 is 2400264.

4620042 is a `hidden beast` number, since 4 + 620 + 0 + 42 = 666.

4620042 is nontrivially palindromic in base 8.

4620042 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4619997 and 4620024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4167 + ... + 5157.

It is an arithmetic number, because the mean of its divisors is an integer number (245024).

Almost surely, 24620042 is an apocalyptic number.

4620042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4620042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880576).

4620042 is an abundant number, since it is smaller than the sum of its proper divisors (7141110).

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

4620042 is a wasteful number, since it uses less digits than its factorization.

4620042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4620042 is about 2149.4282960825. The cubic root of 4620042 is about 166.5515355984.

The spelling of 4620042 in words is "four million, six hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 991 1554 1982 2331 2973 4662 5946 6937 8919 13874 17838 20811 36667 41622 62433 73334 110001 124866 220002 256669 330003 513338 660006 770007 1540014 2310021 4620042