Search a number
-
+
424733952 = 2833714947
BaseRepresentation
bin11001010100001…
…110110100000000
31002121012201110010
4121110032310000
51332212441302
6110051304520
713345115256
oct3124166400
91077181403
10424733952
111a88299a5
12ba2ab140
1369cc1686
14405a25d6
152744c16c
hex1950ed00

424733952 has 72 divisors (see below), whose sum is σ = 1161041056. Its totient is φ = 137742336.

The previous prime is 424733951. The next prime is 424733957. The reversal of 424733952 is 259337424.

It is a self number, because there is not a number n which added to its sum of digits gives 424733952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424733951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20943 + ... + 35889.

Almost surely, 2424733952 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 424733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580520528).

424733952 is an abundant number, since it is smaller than the sum of its proper divisors (736307104).

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

424733952 is a wasteful number, since it uses less digits than its factorization.

424733952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15003 (or 14989 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 424733952 is about 20609.0745061490. The cubic root of 424733952 is about 751.6903810647.

The spelling of 424733952 in words is "four hundred twenty-four million, seven hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 14208 14947 28416 29894 44841 59788 89682 119576 179364 239152 358728 478304 553039 717456 956608 1106078 1434912 1659117 1913216 2212156 2869824 3318234 3826432 4424312 5739648 6636468 8848624 11479296 13272936 17697248 26545872 35394496 53091744 70788992 106183488 141577984 212366976 424733952