Search a number
-
+
447742920 = 233531373253
BaseRepresentation
bin11010101100000…
…000001111001000
31011012111200211010
4122230000033020
51404110233140
6112232403520
714044515642
oct3254001710
91135450733
10447742920
1120a814979
12105b465a0
13719b9551
1443671892
1529494880
hex1ab003c8

447742920 has 128 divisors (see below), whose sum is σ = 1424471040. Its totient is φ = 112389120.

The previous prime is 447742879. The next prime is 447742921. The reversal of 447742920 is 29247744.

It is not an unprimeable number, because it can be changed into a prime (447742921) 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 31 ways as a sum of consecutive naturals, for example, 136014 + ... + 139266.

It is an arithmetic number, because the mean of its divisors is an integer number (11128680).

Almost surely, 2447742920 is an apocalyptic number.

447742920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447742920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712235520).

447742920 is an abundant number, since it is smaller than the sum of its proper divisors (976728120).

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

447742920 is a wasteful number, since it uses less digits than its factorization.

447742920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 447742920 is about 21159.9366728731. The cubic root of 447742920 is about 765.0260830955.

The spelling of 447742920 in words is "four hundred forty-seven million, seven hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 37 40 60 62 74 93 111 120 124 148 155 185 186 222 248 296 310 370 372 444 465 555 620 740 744 888 930 1110 1147 1240 1480 1860 2220 2294 3253 3441 3720 4440 4588 5735 6506 6882 9176 9759 11470 13012 13764 16265 17205 19518 22940 26024 27528 32530 34410 39036 45880 48795 65060 68820 78072 97590 100843 120361 130120 137640 195180 201686 240722 302529 361083 390360 403372 481444 504215 601805 605058 722166 806744 962888 1008430 1203610 1210116 1444332 1512645 1805415 2016860 2407220 2420232 2888664 3025290 3610830 3731191 4033720 4814440 6050580 7221660 7462382 11193573 12101160 14443320 14924764 18655955 22387146 29849528 37311910 44774292 55967865 74623820 89548584 111935730 149247640 223871460 447742920