Search a number
-
+
581240448 = 27366229
BaseRepresentation
bin100010101001010…
…000011010000000
31111111201002000000
4202221100122000
52142244143243
6133402000000
720255314365
oct4251203200
91444632000
10581240448
11279105608
121427a6000
139355ac79
14572a246c
15360645d3
hex22a50680

581240448 has 112 divisors (see below), whose sum is σ = 1736394450. Its totient is φ = 193715712.

The previous prime is 581240441. The next prime is 581240461. The reversal of 581240448 is 844042185.

It can be written as a sum of positive squares in only one way, i.e., 494973504 + 86266944 = 22248^2 + 9288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (581240441) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 90198 + ... + 96426.

Almost surely, 2581240448 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 581240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868197225).

581240448 is an abundant number, since it is smaller than the sum of its proper divisors (1155154002).

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

581240448 is an frugal number, since it uses more digits than its factorization.

581240448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 581240448 is about 24108.9288024168. The cubic root of 581240448 is about 834.5491957471.

The spelling of 581240448 in words is "five hundred eighty-one million, two hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 6229 7776 10368 11664 12458 15552 18687 23328 24916 31104 37374 46656 49832 56061 74748 93312 99664 112122 149496 168183 199328 224244 298992 336366 398656 448488 504549 597984 672732 797312 896976 1009098 1195968 1345464 1513647 1793952 2018196 2391936 2690928 3027294 3587904 4036392 4540941 5381856 6054588 7175808 8072784 9081882 10763712 12109176 16145568 18163764 21527424 24218352 32291136 36327528 48436704 64582272 72655056 96873408 145310112 193746816 290620224 581240448