Search a number
-
+
390197248 = 212731439
BaseRepresentation
bin10111010000011…
…111000000000000
31000012020001222221
4113100133000000
51244342302443
6102415140424
712445423210
oct2720370000
91005201887
10390197248
1119028aa71
12aa814714
1362abb75c
1439b72240
15243c8eed
hex1741f000

390197248 has 104 divisors (see below), whose sum is σ = 922634240. Its totient is φ = 161464320.

The previous prime is 390197207. The next prime is 390197257. The reversal of 390197248 is 842791093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 888613 + ... + 889051.

Almost surely, 2390197248 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 390197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461317120).

390197248 is an abundant number, since it is smaller than the sum of its proper divisors (532436992).

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

390197248 is an equidigital number, since it uses as much as digits as its factorization.

390197248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 390197248 is about 19753.4110472090. The cubic root of 390197248 is about 730.7375094849.

The spelling of 390197248 in words is "three hundred ninety million, one hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 439 448 496 512 868 878 896 992 1024 1736 1756 1792 1984 2048 3073 3472 3512 3584 3968 4096 6146 6944 7024 7168 7936 12292 13609 13888 14048 14336 15872 24584 27218 27776 28096 28672 31744 49168 54436 55552 56192 63488 95263 98336 108872 111104 112384 126976 190526 196672 217744 222208 224768 381052 393344 435488 444416 449536 762104 786688 870976 888832 899072 1524208 1573376 1741952 1798144 3048416 3146752 3483904 6096832 6293504 6967808 12193664 12587008 13935616 24387328 27871232 48774656 55742464 97549312 195098624 390197248