Search a number
-
+
4612000572 = 22332331101593
BaseRepresentation
bin1000100101110010…
…11000101100111100
3102220102021220102000
410102321120230330
533421133004242
62041351102300
7222201233544
oct42271305474
912812256360
104612000572
111a57399323
12a88671990
1358665c62a
1431a742324
151bed63a4c
hex112e58b3c

4612000572 has 192 divisors, whose sum is σ = 13028843520. Its totient is φ = 1406592000.

The previous prime is 4612000571. The next prime is 4612000573. The reversal of 4612000572 is 2750002164.

It is an interprime number because it is at equal distance from previous prime (4612000571) and next prime (4612000573).

It is a super-2 number, since 2×46120005722 = 42541098552256654368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4612000571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7777108 + ... + 7777700.

It is an arithmetic number, because the mean of its divisors is an integer number (67858560).

Almost surely, 24612000572 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 4612000572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514421760).

4612000572 is an abundant number, since it is smaller than the sum of its proper divisors (8416842948).

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

4612000572 is a wasteful number, since it uses less digits than its factorization.

4612000572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4612000572 is about 67911.7115967489. The cubic root of 4612000572 is about 1664.5484888853.

The spelling of 4612000572 in words is "four billion, six hundred twelve million, five hundred seventy-two", and thus it is an aban number.