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484506936 = 233217311132
BaseRepresentation
bin11100111000001…
…111110100111000
31020202200111120100
4130320033310320
51443013210221
6120024355400
715002145444
oct3470176470
91222614510
10484506936
11229545261
12116315b60
13794bc1c4
14484c1824
152c807926
hex1ce0fd38

484506936 has 144 divisors (see below), whose sum is σ = 1447018560. Its totient is φ = 145797120.

The previous prime is 484506931. The next prime is 484506947. The reversal of 484506936 is 639605484.

It is a junction number, because it is equal to n+sod(n) for n = 484506891 and 484506900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484506931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4287616 + ... + 4287728.

It is an arithmetic number, because the mean of its divisors is an integer number (10048740).

Almost surely, 2484506936 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 484506936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723509280).

484506936 is an abundant number, since it is smaller than the sum of its proper divisors (962511624).

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

484506936 is a wasteful number, since it uses less digits than its factorization.

484506936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 484506936 is about 22011.5182574942. The cubic root of 484506936 is about 785.4164617770.

The spelling of 484506936 in words is "four hundred eighty-four million, five hundred six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 113 124 136 153 186 204 226 248 279 306 339 372 408 452 527 558 612 678 744 904 1017 1054 1116 1224 1356 1581 1921 2034 2108 2232 2712 3162 3503 3842 4068 4216 4743 5763 6324 7006 7684 8136 9486 10509 11526 12648 12769 14012 15368 17289 18972 21018 23052 25538 28024 31527 34578 37944 38307 42036 46104 51076 59551 63054 69156 76614 84072 102152 114921 119102 126108 138312 153228 178653 217073 229842 238204 252216 306456 357306 395839 434146 459684 476408 535959 651219 714612 791678 868292 919368 1071918 1187517 1302438 1429224 1583356 1736584 1953657 2143836 2375034 2604876 3166712 3562551 3907314 4287672 4750068 5209752 6729263 7125102 7814628 9500136 13458526 14250204 15629256 20187789 26917052 28500408 40375578 53834104 60563367 80751156 121126734 161502312 242253468 484506936