Search a number
-
+
447493830 = 23577130013
BaseRepresentation
bin11010101011000…
…011011011000110
31011012001001010120
4122223003123012
51404024300310
6112223202410
714042430510
oct3253033306
91135031116
10447493830
1120a664813
12105a46406
1371930064
1443608bb0
1529445b70
hex1aac36c6

447493830 has 64 divisors (see below), whose sum is σ = 1244740608. Its totient is φ = 100840320.

The previous prime is 447493807. The next prime is 447493831. The reversal of 447493830 is 38394744.

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 (447493831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97 + ... + 29916.

It is an arithmetic number, because the mean of its divisors is an integer number (19449072).

Almost surely, 2447493830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447493830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622370304).

447493830 is an abundant number, since it is smaller than the sum of its proper divisors (797246778).

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

447493830 is a wasteful number, since it uses less digits than its factorization.

447493830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30101.

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 447493830 is about 21154.0499668503. The cubic root of 447493830 is about 764.8841893977.

The spelling of 447493830 in words is "four hundred forty-seven million, four hundred ninety-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2485 2982 4970 7455 14910 30013 60026 90039 150065 180078 210091 300130 420182 450195 630273 900390 1050455 1260546 2100910 2130923 3151365 4261846 6302730 6392769 10654615 12785538 14916461 21309230 29832922 31963845 44749383 63927690 74582305 89498766 149164610 223746915 447493830