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491328540 = 2232510326501
BaseRepresentation
bin11101010010010…
…001010000011100
31021020112002001100
4131102101100130
52001240003130
6120430513100
715114136503
oct3522212034
91236462040
10491328540
1123238444a
12118665790
137aa3a161
144937983a
152d203c60
hex1d49141c

491328540 has 72 divisors (see below), whose sum is σ = 1504889568. Its totient is φ = 129744000.

The previous prime is 491328511. The next prime is 491328547. The reversal of 491328540 is 45823194.

491328540 is a `hidden beast` number, since 4 + 91 + 3 + 28 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 491328495 and 491328504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491328547) 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, 5290 + ... + 31790.

It is an arithmetic number, because the mean of its divisors is an integer number (20901244).

Almost surely, 2491328540 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 491328540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752444784).

491328540 is an abundant number, since it is smaller than the sum of its proper divisors (1013561028).

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

491328540 is a wasteful number, since it uses less digits than its factorization.

491328540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26619 (or 26614 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 491328540 is about 22165.9319677743. The cubic root of 491328540 is about 789.0853806508.

The spelling of 491328540 in words is "four hundred ninety-one million, three hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 26501 53002 79503 106004 132505 159006 238509 265010 318012 397515 477018 530020 795030 954036 1192545 1590060 2385090 2729603 4770180 5459206 8188809 10918412 13648015 16377618 24566427 27296030 32755236 40944045 49132854 54592060 81888090 98265708 122832135 163776180 245664270 491328540