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481220316 = 2232293114869
BaseRepresentation
bin11100101011101…
…101011011011100
31020112111112011200
4130223231123130
51441143022231
6115430115500
714632206453
oct3453553334
91215445150
10481220316
112276aaa45
121151abb90
137890b265
1447ca7b9a
152c3a8be6
hex1caed6dc

481220316 has 72 divisors (see below), whose sum is σ = 1299043200. Its totient is φ = 149869440.

The previous prime is 481220303. The next prime is 481220317. The reversal of 481220316 is 613022184.

It is a super-2 number, since 2×4812203162 = 463145985062279712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 481220316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481220317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24930 + ... + 39798.

Almost surely, 2481220316 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 481220316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649521600).

481220316 is an abundant number, since it is smaller than the sum of its proper divisors (817822884).

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

481220316 is a wasteful number, since it uses less digits than its factorization.

481220316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14939 (or 14934 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 481220316 is about 21936.7343968969. The cubic root of 481220316 is about 783.6364911201.

The spelling of 481220316 in words is "four hundred eighty-one million, two hundred twenty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 14869 16182 29738 32364 44607 59476 89214 133821 178428 267642 431201 460939 535284 862402 921878 1293603 1382817 1724804 1843756 2587206 2765634 3880809 4148451 5174412 5531268 7761618 8296902 13367231 15523236 16593804 26734462 40101693 53468924 80203386 120305079 160406772 240610158 481220316