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4642435395 = 32513171979311
BaseRepresentation
bin1000101001011010…
…11111000101000011
3102222112120011010200
410110231133011003
534001430413040
62044355300243
7223021023033
oct42455370503
912875504120
104642435395
111a72596474
12a968aa683
1358ca574c0
143207c58c3
151c2876630
hex114b5f143

4642435395 has 192 divisors, whose sum is σ = 9812275200. Its totient is φ = 2005585920.

The previous prime is 4642435373. The next prime is 4642435397. The reversal of 4642435395 is 5935342464.

4642435395 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4642435395 - 28 = 4642435139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (1555200) is a multiple of the sum of its prime factors (450).

It is a self number, because there is not a number n which added to its sum of digits gives 4642435395.

It is not an unprimeable number, because it can be changed into a prime (4642435397) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14927290 + ... + 14927600.

It is an arithmetic number, because the mean of its divisors is an integer number (51105600).

Almost surely, 24642435395 is an apocalyptic number.

4642435395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4642435395 is an abundant number, since it is smaller than the sum of its proper divisors (5169839805).

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

4642435395 is a wasteful number, since it uses less digits than its factorization.

4642435395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 4642435395 is about 68135.4195334556. The cubic root of 4642435395 is about 1668.2019438313.

The spelling of 4642435395 in words is "four billion, six hundred forty-two million, four hundred thirty-five thousand, three hundred ninety-five".