Search a number
-
+
950612224 = 28412472
BaseRepresentation
bin111000101010010…
…011000100000000
32110020202002211011
4320222103010000
53421324042344
6234154530304
732362033132
oct7052230400
92406662734
10950612224
11448661041
12226436994
13121c37653
1490373052
15586c7d34
hex38a93100

950612224 has 81 divisors (see below), whose sum is σ = 1987182421. Its totient is φ = 453847040.

The previous prime is 950612219. The next prime is 950612231. The reversal of 950612224 is 422216059.

The square root of 950612224 is 30832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45805824 + 904806400 = 6768^2 + 30080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20225769 + ... + 20225815.

Almost surely, 2950612224 is an apocalyptic number.

950612224 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

950612224 is the 30832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950612224

950612224 is an abundant number, since it is smaller than the sum of its proper divisors (1036570197).

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

950612224 is an frugal number, since it uses more digits than its factorization.

950612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 950612224 is about 983.2587009398.

The spelling of 950612224 in words is "nine hundred fifty million, six hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 47 64 82 94 128 164 188 256 328 376 656 752 1312 1504 1681 1927 2209 2624 3008 3362 3854 4418 5248 6016 6724 7708 8836 10496 12032 13448 15416 17672 26896 30832 35344 53792 61664 70688 79007 90569 107584 123328 141376 158014 181138 215168 246656 282752 316028 362276 430336 493312 565504 632056 724552 1264112 1449104 2528224 2898208 3713329 5056448 5796416 7426658 10112896 11592832 14853316 20225792 23185664 29706632 59413264 118826528 237653056 475306112 950612224