Search a number
-
+
412502416 = 2417289209
BaseRepresentation
bin11000100101100…
…100100110010000
31001202012021221021
4120211210212100
51321100034131
6104533205224
713136132644
oct3045444620
91052167837
10412502416
111a1935197
12b6190814
13675cb191
143cadac24
1526332e11
hex18964990

412502416 has 30 divisors (see below), whose sum is σ = 849011570. Its totient is φ = 194116608.

The previous prime is 412502413. The next prime is 412502423. The reversal of 412502416 is 614205214.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 118722816 + 293779600 = 10896^2 + 17140^2 .

It is not an unprimeable number, because it can be changed into a prime (412502413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39981 + ... + 49228.

Almost surely, 2412502416 is an apocalyptic number.

It is an amenable number.

412502416 is an abundant number, since it is smaller than the sum of its proper divisors (436509154).

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

412502416 is a wasteful number, since it uses less digits than its factorization.

412502416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89251 (or 89228 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 412502416 is about 20310.1554893113. The cubic root of 412502416 is about 744.4042297889.

The spelling of 412502416 in words is "four hundred twelve million, five hundred two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 89209 178418 356836 713672 1427344 1516553 3033106 6066212 12132424 24264848 25781401 51562802 103125604 206251208 412502416