Search a number
-
+
484983936 = 2734291613
BaseRepresentation
bin11100111010000…
…100010010000000
31020210120201220000
4130322010102000
51443123441221
6120042520000
715006203223
oct3472042200
91223521800
10484983936
11229840678
12116506000
1379628358
14485a75ba
152c89de26
hex1ce84480

484983936 has 160 divisors (see below), whose sum is σ = 1493999100. Its totient is φ = 155990016.

The previous prime is 484983931. The next prime is 484983937. The reversal of 484983936 is 639389484.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 482241600 + 2742336 = 21960^2 + 1656^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (484983931) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 299866 + ... + 301478.

Almost surely, 2484983936 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 484983936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746999550).

484983936 is an abundant number, since it is smaller than the sum of its proper divisors (1009015164).

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

484983936 is a wasteful number, since it uses less digits than its factorization.

484983936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1647 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 484983936 is about 22022.3508281927. The cubic root of 484983936 is about 785.6741263189.

The spelling of 484983936 in words is "four hundred eighty-four million, nine hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 783 864 928 1044 1152 1296 1392 1566 1613 1728 1856 2088 2349 2592 2784 3132 3226 3456 3712 4176 4698 4839 5184 5568 6264 6452 8352 9396 9678 10368 11136 12528 12904 14517 16704 18792 19356 25056 25808 29034 33408 37584 38712 43551 46777 50112 51616 58068 75168 77424 87102 93554 100224 103232 116136 130653 140331 150336 154848 174204 187108 206464 232272 261306 280662 300672 309696 348408 374216 420993 464544 522612 561324 619392 696816 748432 841986 929088 1045224 1122648 1262979 1393632 1496864 1683972 1858176 2090448 2245296 2525958 2787264 2993728 3367944 3788937 4180896 4490592 5051916 5574528 5987456 6735888 7577874 8361792 8981184 10103832 13471776 15155748 16723584 17962368 20207664 26943552 30311496 40415328 53887104 60622992 80830656 121245984 161661312 242491968 484983936