Search a number
-
+
4285742004 = 2232119048389
BaseRepresentation
bin1111111101110011…
…0011101110110100
3102001200101020210100
43333130303232310
532234122221004
61545134154100
7211130130435
oct37734635664
912050336710
104285742004
1118aa20a445
129b7352930
13533b9981b
142c929548c
151a13b9739
hexff733bb4

4285742004 has 18 divisors (see below), whose sum is σ = 10833403490. Its totient is φ = 1428580656.

The previous prime is 4285741969. The next prime is 4285742009. The reversal of 4285742004 is 4002475824.

It can be written as a sum of positive squares in only one way, i.e., 3558361104 + 727380900 = 59652^2 + 26970^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 119048389 = 4285742004 / (4 + 2 + 8 + 5 + 7 + 4 + 2 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 4285742004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285742009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59524159 + ... + 59524230.

Almost surely, 24285742004 is an apocalyptic number.

It is an amenable number.

4285742004 is an abundant number, since it is smaller than the sum of its proper divisors (6547661486).

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

4285742004 is a wasteful number, since it uses less digits than its factorization.

4285742004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119048399 (or 119048394 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4285742004 is about 65465.5787723594. The cubic root of 4285742004 is about 1624.3340234619.

The spelling of 4285742004 in words is "four billion, two hundred eighty-five million, seven hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 119048389 238096778 357145167 476193556 714290334 1071435501 1428580668 2142871002 4285742004