Search a number
-
+
8041464 = 233359631
BaseRepresentation
bin11110101011001111111000
3120010112211000
4132223033320
54024311324
6444205000
7125231334
oct36531770
916115730
108041464
1145a2742
122839760
131887282
1410d47c4
15a8c9c9
hex7ab3f8

8041464 has 64 divisors (see below), whose sum is σ = 22752000. Its totient is φ = 2630880.

The previous prime is 8041463. The next prime is 8041471. The reversal of 8041464 is 4641408.

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 (8041463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12429 + ... + 13059.

It is an arithmetic number, because the mean of its divisors is an integer number (355500).

Almost surely, 28041464 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 8041464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376000).

8041464 is an abundant number, since it is smaller than the sum of its proper divisors (14710536).

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

8041464 is a wasteful number, since it uses less digits than its factorization.

8041464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8041464 is about 2835.7475204961. The cubic root of 8041464 is about 200.3449380799.

The spelling of 8041464 in words is "eight million, forty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 631 708 1062 1262 1416 1593 1893 2124 2524 3186 3786 4248 5048 5679 6372 7572 11358 12744 15144 17037 22716 34074 37229 45432 68148 74458 111687 136296 148916 223374 297832 335061 446748 670122 893496 1005183 1340244 2010366 2680488 4020732 8041464