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481136292 = 2232721320981
BaseRepresentation
bin11100101011011…
…000111010100100
31020112100020220200
4130223120322210
51441132330132
6115424230500
714631406500
oct3453307244
91215306820
10481136292
112276528aa
1211516b430
13788abc40
1447c85300
152c38dd7c
hex1cad8ea4

481136292 has 108 divisors (see below), whose sum is σ = 1523670876. Its totient is φ = 126887040.

The previous prime is 481136291. The next prime is 481136317. The reversal of 481136292 is 292631184.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 330730596 = 12264^2 + 18186^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (481136291) 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, 12442 + ... + 33422.

Almost surely, 2481136292 is an apocalyptic number.

481136292 is a gapful number since it is divisible by the number (42) 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 481136292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761835438).

481136292 is an abundant number, since it is smaller than the sum of its proper divisors (1042534584).

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

481136292 is a wasteful number, since it uses less digits than its factorization.

481136292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21018 (or 21006 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 481136292 is about 21934.8191695304. The cubic root of 481136292 is about 783.5908792296.

The spelling of 481136292 in words is "four hundred eighty-one million, one hundred thirty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 20981 22932 41962 62943 83924 125886 146867 188829 251772 272753 293734 377658 440601 545506 587468 755316 818259 881202 1028069 1091012 1321803 1636518 1762404 1909271 2056138 2454777 2643606 3084207 3273036 3818542 4112276 4909554 5287212 5727813 6168414 7637084 9252621 9819108 11455626 12336828 13364897 17183439 18505242 22911252 26729794 34366878 37010484 40094691 53459588 68733756 80189382 120284073 160378764 240568146 481136292