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497772036 = 2232171018053
BaseRepresentation
bin11101101010110…
…110011000000100
31021200122102212100
4131222312120010
52004412201121
6121220552100
715222664266
oct3552663004
91250572770
10497772036
11235a85553
1211a852630
137c184c88
144a175b36
152da78026
hex1dab6604

497772036 has 72 divisors (see below), whose sum is σ = 1345630104. Its totient is φ = 154598400.

The previous prime is 497772029. The next prime is 497772043. The reversal of 497772036 is 630277794.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (497772029) and next prime (497772043).

It can be written as a sum of positive squares in 4 ways, for example, as 342620100 + 155151936 = 18510^2 + 12456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 497771982 and 497772000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57786 + ... + 65838.

It is an arithmetic number, because the mean of its divisors is an integer number (18689307).

Almost surely, 2497772036 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 497772036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672815052).

497772036 is an abundant number, since it is smaller than the sum of its proper divisors (847858068).

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

497772036 is a wasteful number, since it uses less digits than its factorization.

497772036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 497772036 is about 22310.8053642176. The cubic root of 497772036 is about 792.5198798199.

The spelling of 497772036 in words is "four hundred ninety-seven million, seven hundred seventy-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 101 102 153 202 204 303 306 404 606 612 909 1212 1717 1818 3434 3636 5151 6868 8053 10302 15453 16106 20604 24159 30906 32212 48318 61812 72477 96636 136901 144954 273802 289908 410703 547604 813353 821406 1232109 1626706 1642812 2440059 2464218 3253412 4880118 4928436 7320177 9760236 13827001 14640354 27654002 29280708 41481003 55308004 82962006 124443009 165924012 248886018 497772036