[go: up one dir, main page]

Search a number
-
+
642909246 = 23715307363
BaseRepresentation
bin100110010100100…
…000010000111110
31122210202011200120
4212110200100332
52304041043441
6143443435410
721634431660
oct4624402076
91583664616
10642909246
112aa9a6261
1215b385b66
13a3270695
1461556530
153b696966
hex2652043e

642909246 has 16 divisors (see below), whose sum is σ = 1469506944. Its totient is φ = 183688344.

The previous prime is 642909229. The next prime is 642909257.

642909246 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 15307363 = 642909246 / (6 + 4 + 2 + 9 + 0 + 9 + 2 + 4 + 6).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 642909198 and 642909207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7653640 + ... + 7653723.

It is an arithmetic number, because the mean of its divisors is an integer number (91844184).

Almost surely, 2642909246 is an apocalyptic number.

642909246 is an abundant number, since it is smaller than the sum of its proper divisors (826597698).

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

642909246 is a wasteful number, since it uses less digits than its factorization.

642909246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15307375.

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 642909246 is about 25355.6551088707. The cubic root of 642909246 is about 863.0776900278.

It can be divided in two parts, 64290 and 9246, that added together give a triangular number (73536 = T383).

The spelling of 642909246 in words is "six hundred forty-two million, nine hundred nine thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 15307363 30614726 45922089 91844178 107151541 214303082 321454623 642909246