Search a number
-
+
474349248 = 26321495527
BaseRepresentation
bin11100010001011…
…111111011000000
31020001120102211200
4130101133323000
51432413133443
6115022541200
714516621262
oct3421377300
91201512750
10474349248
1122383767a
12112a37800
1377373939
1446dd9b32
152b99cdd3
hex1c45fec0

474349248 has 84 divisors (see below), whose sum is σ = 1369009200. Its totient is φ = 157026816.

The previous prime is 474349247. The next prime is 474349261. The reversal of 474349248 is 842943474.

It is not an unprimeable number, because it can be changed into a prime (474349247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83061 + ... + 88587.

Almost surely, 2474349248 is an apocalyptic number.

474349248 is a gapful number since it is divisible by the number (48) 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 474349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684504600).

474349248 is an abundant number, since it is smaller than the sum of its proper divisors (894659952).

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

474349248 is a wasteful number, since it uses less digits than its factorization.

474349248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5681 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 474349248 is about 21779.5603261407. The cubic root of 474349248 is about 779.8888993633. Note that the first 4 decimals are identical.

The spelling of 474349248 in words is "four hundred seventy-four million, three hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 149 192 288 298 447 576 596 894 1192 1341 1788 2384 2682 3576 4768 5364 5527 7152 9536 10728 11054 14304 16581 21456 22108 28608 33162 42912 44216 49743 66324 85824 88432 99486 132648 176864 198972 265296 353728 397944 530592 795888 823523 1061184 1591776 1647046 2470569 3183552 3294092 4941138 6588184 7411707 9882276 13176368 14823414 19764552 26352736 29646828 39529104 52705472 59293656 79058208 118587312 158116416 237174624 474349248