Search a number
-
+
465632664 = 23372771623
BaseRepresentation
bin11011110000001…
…111110110011000
31012110011120221020
4123300033312120
51423200221124
6114112042440
714352545430
oct3360176630
91173146836
10465632664
11219923792
1210bb33420
13756112b3
1445bab2c0
152ad2a379
hex1bc0fd98

465632664 has 32 divisors (see below), whose sum is σ = 1330379520. Its totient is φ = 133037856.

The previous prime is 465632663. The next prime is 465632683. The reversal of 465632664 is 466236564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465632663) 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, 1385644 + ... + 1385979.

It is an arithmetic number, because the mean of its divisors is an integer number (41574360).

Almost surely, 2465632664 is an apocalyptic number.

It is an amenable number.

465632664 is an abundant number, since it is smaller than the sum of its proper divisors (864746856).

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

465632664 is a wasteful number, since it uses less digits than its factorization.

465632664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771639 (or 2771635 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 465632664 is about 21578.5232117492. The cubic root of 465632664 is about 775.0822883141.

The spelling of 465632664 in words is "four hundred sixty-five million, six hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2771623 5543246 8314869 11086492 16629738 19401361 22172984 33259476 38802722 58204083 66518952 77605444 116408166 155210888 232816332 465632664