Search a number
-
+
464646040 = 23517683303
BaseRepresentation
bin11011101100011…
…110111110011000
31012101022110112121
4123230132332120
51422422133130
6114034551024
714341266115
oct3354367630
91171273477
10464646040
1121930a4a1
1210b738474
13753571b1
14459d190c
152abd2d7a
hex1bb1ef98

464646040 has 32 divisors (see below), whose sum is σ = 1106952480. Its totient is φ = 174925312.

The previous prime is 464646019. The next prime is 464646043. The reversal of 464646040 is 40646464.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 464645987 and 464646005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464646043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340972 + ... + 342331.

It is an arithmetic number, because the mean of its divisors is an integer number (34592265).

Almost surely, 2464646040 is an apocalyptic number.

464646040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464646040 is an abundant number, since it is smaller than the sum of its proper divisors (642306440).

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

464646040 is a wasteful number, since it uses less digits than its factorization.

464646040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683331 (or 683327 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 464646040 is about 21555.6498394272. The cubic root of 464646040 is about 774.5344633878.

The spelling of 464646040 in words is "four hundred sixty-four million, six hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 683303 1366606 2733212 3416515 5466424 6833030 11616151 13666060 23232302 27332120 46464604 58080755 92929208 116161510 232323020 464646040